bluuebunny/crossref_metadata_2025 huggingface dataset:
Developing export management competencies and skills among undergraduate business students
Authors: Scharf Fred , Bell Jim
Published: September 2002

“Live” client‐sponsored projects have been recognised as a useful pedagogic technique in management education. They enable students to apply theoretical concepts in practice and allow them to develop the necessary knowledge, skills and competencies required for future business careers. This paper describes how this learning approach has been used with a cohort of final year undergraduate students to improve their export management skills and to enhance the learning experience. It evaluates the outcomes from the perspectives of students, the “client” firms and the government support agencies.
Best practices of ICT workforce management – a comparable research initiative in Finland
Authors: Holm Johanna , Lähteenmäki Satu , Salmela Hannu , Suomi Reima , Suominen Arto , Viljanen Maarit
Published: September 2002

This paper describes a project which investigates the human resource management practices that are being used in managing information professionals in ICT companies or ICT departments. The effectiveness of the practices is evaluated from individual and management perspectives. It is assumed that the nature of the contract between the IS professional and the organization influences the effectiveness of different practices. Thus, the notion of “best practice” is seen as context dependent. When writing the paper, the research was still in progress and no results can yet be given. After completing the study, practitioners can use the results to compare their own practices with those that were found to be effective in the nine case organizations. For researchers, the results will provide hypotheses about the relationship between HRM practices and job satisfaction of the IS professionals.
Changes in training, performance management and communication issues among Greek firms in the 1990s: intercountry and intracountry comparisons
Authors: Papalexandris Nancy , Chalikias John
Published: September 2002

Based on evidence from the Cranet survey this paper examines the progress in the practice of HRM in Greek organizations, comparing results from 1992 to those of the 1999 survey round, focusing on various core functions such as training and development, performance management and employee communications. It also compares these developments to the overall European scene. Results show more improvement in training and performance management and less in employee communications. From examination of survey results, it is obvious that Greece follows the EU trends towards an improved, more strategic role of HRM. However, statistical analysis of data from the comparative survey across European countries indicates a slower pace in improvements and some differences, which Greek companies will have to overcome. In this effort, training and development appears to be the most critical factor.
16α-Bromoepiandrosterone, an Antimalarial Analogue of the Hormone Dehydroepiandrosterone, Enhances Phagocytosis of Ring Stage Parasitized Erythrocytes: a Novel Mechanism for Antimalarial Activity
Authors: Ayi Kodjo , Giribaldi Giuliana , Skorokhod Aleksei , Schwarzer Evelin , Prendergast Patrick T. , Arese Paolo
Published: September 2002

Dehydroepiandrosterone (DHEA) and DHEA-sulfate (DHEA-S), which are the most abundant hormones secreted by the adrenal cortex and are present in plasma at approximately 6 μM, as well as their analogue, 16α-bromoepiandrosterone (EPI), exerted antimalarial activities against two chloroquine-sensitive
Plasmodium falciparum
strains (Palo Alto, 50% inhibitory concentration [IC
50
] of EPI, 4.8 ± 0.68 μM; T996/86, IC
50
of EPI, 7.5 ± 0.91 μM, and IC
50
of DHEA-S, 19 ± 2.6 μM) and one mildly chloroquine-resistant strain (FCR-3, IC
50
of EPI, 6.5 ± 1.01 μM). Both EPI and DHEA/DHEA-S are potent inhibitors of glucose-6-phosphate dehydrogenase (G6PD), and G6PD deficiency is known to exert antimalaria protection via enhanced opsonization and phagocytosis of rings, the early forms of the parasite. Plasma-compatible antimalarial EPI concentrations did not inhibit G6PD activity and did not induce ring opsonization by immunoglobulin G and complement fragments, as observed in G6PD deficiency, but nevertheless remarkably stimulated ring phagocytosis. Plasma-compatible, low-micromolar concentrations of EPI induced exposure on the ring surface of phosphatidylserine, a signal for phagocytic removal independent of opsonization. We propose that enhanced ring phagocytosis due to exposure of negatively charged membrane phospholipids may explain the antimalarial activity of EPI.
A Resistance-Nodulation-Cell Division Family Xenobiotic Efflux Pump in an Obligate Anaerobe,
Porphyromonas gingivalis
Authors: Ikeda Takeshi , Yoshimura Fuminobu
Published: September 2002

Porphyromonas gingivalis
, a gram-negative obligate anaerobe, contains two homologs of an
Escherichia coli
resistance-nodulation-cell division-type multidrug exporter gene,
acrB
, in putative operons, together with homologs of membrane fusion protein gene
acrA
and outer membrane channel gene
tolC
. MIC determination and accumulation assays with mutants with disruptions of one or more genes showed that one cluster, named
xepCAB
, pumped out multiple agents including rifampin, puromycin, and ethidium bromide.
A MODIFIED BOX-COUNTING METHOD
Authors: KYRIACOS S. , BUCZKOWSKI S. , NEKKA F. , CARTILIER L.
Published: September 2002

Fractal geometry has been widely used to characterize irregular structures. Our interest in applying this concept in biomedical research leads us to the conclusion that there are no standard methods. In order to objectively set parameters involved in the estimation of fractal dimension, a significantly more accurate and efficient box-counting method based on a new algorithm was developed. Measurements of mathematical objects with known fractal dimension was performed using the traditional method and the proposed modification. The latter always yields results with less than 1% difference from the theoretical value, which represents a significant improvement.
Boltzmann‐Gibbs entropy: axiomatic characterization and application
Authors: Chakrabarti C. G. , De Kajal
Published: September 2002

We present axiomatic characterizations
of both Boltzmann and Gibbs entropies together with an
application.
Convex isometric folding
Authors: Elkholy E. M.
Published: September 2002

We introduce a new type of isometric folding called “convex
isometric folding.” We prove that the infimum of the ratio VolN/Volφ(N) over all convex isometric foldings φ : N → N, where N is a compact 2‐manifold (orientable or
not), is 1/4.
Effect of rotation and relaxation times on plane waves in generalized thermo‐visco‐elasticity
Authors: Roychoudhuri S. K. , Mukhopadhyay Santwana
Published: September 2002

The generalized dynamical theory of thermo‐elasticity proposed by
Green and Lindsay is applied to study the propagation of
harmonically time‐dependent thermo‐visco‐elastic plane waves of
assigned frequency in an infinite visco‐elastic solid of
Kelvin‐Voigt type, when the entire medium rotates with a uniform
angular velocity. A more general dispersion equation is deduced to
determine the effects of rotation, visco‐elasticity, and
relaxation time on the phase‐velocity of the coupled waves. The
solutions for the phase velocity and attenuation coefficient are
obtained for small thermo‐elastic couplings by the perturbation
technique. Taking an appropriate material, the numerical values of
the phase velocity of the waves are computed and the results are
shown graphically to illustrate the problem.
Similarity analysis for natural convection from a vertical plate with distributed wall concentration
Authors: Mulolani I. , Rahman M.
Published: September 2002

Steady laminar natural convection flow over a semi‐infinite
vertical plate is examined in this paper. It is assumed that the
concentration of a species along the plate follows some algebraic
law with respect to chemical reaction. Similarity solutions may
then be obtained for different orders of reaction. The fundamental
parameters of this problem are the Schmidt number, Sc, and
reaction order, n. Numerical results, based on the fourth order
Runge‐Kutta method, for Schmidt number ranging from 0.0 to 100.0 and reaction order from 0.0 to 1.5 are presented. When
chemical reaction occurs, diffusion and velocity domains are seen
to expand out from the plate. For large values of n, one may
expect a smaller diffusion layer which, at fixed Schmidt number, is
associated with increased velocity and reduced convection‐layer.
Mean number of real zeros of a random hyperbolic polynomial
Authors: Wilkins J. Ernest
Published: September 2002

Consider the random hyperbolic polynomial, f(x) = 1pa1coshx + ⋯+np × ancoshnx, in which n and p are integers such that n ≥ 2,    p ≥ 0, and the coefficients ak(k = 1, 2, …, n) are independent, standard normally
distributed random variables. If νnp is the mean number of real zeros of f(x), then we prove that νnp = π−1 logn + O{(logn)1/2}.
A commutator theorem for fractional integrals in spacesof homogeneous type
Authors: Betancor Jorge J.
Published: September 2002

We give a new proof of a commutator theorem for fractional integrals in spaces of homogeneous type.
A theorem of Meir‐Keeler type revisited
Authors: Cho Y. J. , Murthy P. P. , Jungck G.
Published: September 2002

In 1993, the authors presented a fixed point theorem of Meir‐Keeler type. The proposed proof of a lemma—on which the said theorem depends on—is invalid. In this note, we alter the statement of this lemma and give a valid proof thereof, so that the main result of the previous paper is still true.
The ℓ‐translativity of Abel‐type matrix
Authors: Lemma Mulatu
Published: September 2002

Lemma introduced the Abel‐type matrix Aα,t defined by , where α > −1, 0 < tn < 1, for all n, and limtn = 1; and studied it as mappings into ℓ. In this paper, we extend our study of this matrix and investigate its
translativity in the ℓ‐ℓ setting.
Vaccination in a model of an epidemic
Authors: Abual-Rub M. S.
Published: September 2002

Vaccination has been included in a model which describes an
epidemic. A traveling wave solution together with an equilibrium
and stability analysis have been done to the model.
Existence and uniqueness theorems for some fourth‐order nonlinear boundary value problems
Authors: Ma Ruyun
Published: September 2002

Let G and f : [0, 1] × ℝ4 → ℝ be two functions satisfying Caratheodory conditions. This paper is
concerned with the problems of existence and uniqueness of
solutions for the nonlinear fourth‐order ordinary differential
equation

with one of a particular set of boundary
conditions.
Norm attaining bilinear forms on L1(μ)
Authors: Saleh Yousef
Published: September 2002

Given a finite measure μ, we show that the set of norm
attaining bilinear forms is dense in the space of all continuous
bilinear forms on L1(μ) if and only if μ is purely
atomic.
A uniqueness theorem for Boehmians of analytic type
Authors: Nemzer Dennis
Published: September 2002

The following uniqueness theorem is proven for a class of
generalized functions. If F is a Boehmian of analytic type and
F = 0 on some open arc Ω,
then F ≡ 0.
p‐regular Cauchy completions
Authors: Kent Darrell C. , Wig Jennifer
Published: September 2002

This paper gives a further development of p‐regular completion
theory, including a study of p‐regular Reed completions, the role
of diagonal axioms, and the relationship between p‐regular and
p‐topological completions.
On a class of contact Riemannian manifolds
Authors: Cho Jong Taek
Published: September 2002

We determine a locally symmetric or a Ricci‐parallel
contact Riemannian manifold which satisfies a D‐homothetically
invariant condition.
On the stability of generalized gamma functional equation
Authors: Kim Gwang Hui
Published: September 2002

We obtain the Hyers‐Ulam stability and modified Hyers‐Ulam
stability for the equations of the form g(x + p) = φ(x)g(x) in the following settings:
|g(x + p) − φ(x)g(x) | ≤ δ,     | g(x + p) − φ(x)g(x) | ≤ ϕ(x),     | (g(x + p)/φ(x)g(x)) − 1 | ≤ ψ(x). As a consequence we obtain the stability theorems for the gamma
functional equation.
Long cycles in certain graphs of large degree
Authors: Wong Pak-Ken
Published: September 2002

Let G be a connected graph of order n and
X = {x ∈ V : d(x) ≥ n/2}. Suppose
|X| ≥ 3 and G satisfies the
modified Fan′s condition. We show that the vertices of the block
B of G containing X form a cycle. This generalizes a result
of Fan. We also give an efficient algorithm to obtain such a
cycle. The complexity of this algorithm is O(n2). In case G is 2‐connected, the condition |X| ≥ 3 can be removed and G is hamiltonian.
Left global dimensions and inverse polynomial modules
Authors: Park Sangwon
Published: September 2002

We prove the fact l.gl.dimR[x] = (l.gl.dimR) + 1, where l.gl.dim means the left global dimension by using inverse polynomial modules
and injective dimensions. The classical way to prove the fact
l.gl.dimR[x] = (l.gl.dimR) + 1 is using polynomial modules and
projective dimensions.
A subordination theorem for spirallike functions
Authors: Singh Sukhjit
Published: September 2002

We prove a subordination relation for a subclass of the class of
λ‐spirallike functions.
Reflexive and dihedral (co)homology of a pre‐additive category
Authors: Gouda Yasien Gh.
Published: September 2002

The group dihedral homology of an algebra over a field with characteristic zero was introduced by Tsygan (1983). The dihedral homology and cohomology of an algebra with involution over commutative ring with identity, associated with the small category, were studied by Krasauskas et al. (1988), Loday (1987), and Lodder (1993). The aim of this work is concerned with dihedral
and reflexive (co)homology of small pre‐additive category. We also define the free product of involutive algebras associated with this category and study its dihedral homology group. Finally,
following Perelygin (1990), we show that a small pre‐additive category is Morita equivalence.
On certain classes of Galois extensions of rings
Authors: Szeto George , Xue Lianyong
Published: September 2002

Relations between the following classes of Galois extensions are
given: (1) centrally projective Galois extensions (CP‐Galois
extensions), (2) faithfully Galois extensions, and (3) H‐separable Galois extensions. Moreover, it is shown that the
intersection of the class of CP‐Galois extensions
and the class of faithfully Galois extensions is the class of
Azumaya Galois extensions.
Study of exponential stability of coupled wave systems via distributed stabilizer
Authors: Najafi Mahmoud
Published: September 2002

Stabilization of the system of wave
equations coupled in parallel with coupling distributed
springs and viscous dampers are under investigation due
to different boundary conditions and wave propagation
speeds. Numerical computations are attempted to confirm
the theoretical results.
Periodic solutions of periodic generalized food limited model
Authors: Li Yongkun
Published: September 2002

By using the continuation theorem of coincidence degree theory,
the existence of positive periodic solutions for a periodic
generalized food limited model with state dependent delays and
distributed delays is studied, respectively.
Covering properties for LQ𝒰s with nested bases
Authors: Andrikopoulos A. , Stabakis J. N.
Published: September 2002

This paper deals with problems on LQ𝒰 spaces which
have a nested base; among others we give conditions so that a
space (X, τ1, τ2) admits an LQ𝒰𝒰 which generates τ1 and 𝒰−1τ2, and give
necessary and sufficient conditions for a space to be
quasi‐metrizable, related to concrete covering properties. We also
give a Stone′s type characterization of pairwise paracompactness
for some categories of LQ𝒰 spaces with nested bases.
Algebraic and categorical properties of r‐ideal systems
Authors: Kalapodi Aleka , Kontolatou Angeliki
Published: September 2002

The structures (G, r), where r is a system of ideals defined on
a directed group G, play an important role in solving
arithmetical problems. In this paper, we investigate how some
properties of these systems are transferred in their cartesian
products and their substructures. The results we obtain find an
application in the study of categorical properties of these
structures.
On weak center Galois extensions of rings
Authors: Szeto George , Xue Lianyong
Published: September 2002

Let B be a ring with 1, C the center of B, G a finite automorphism group of B, and BG the set of elements in B fixed under each element in G. Then, the notion of a center
Galois extension of BG with Galois group G (i.e., C is a Galois algebra over CG with Galois group G|C≅G) is generalized to a weak center Galois extension with group G, where B is called a weak center Galois extension with group G if BIi = Bei for some idempotent in C and Ii = {c − gi(c) | c ∈ C} for each gi ≠ 1 in G. It is shown that B is a weak center Galois extension with group G if and only if for each gi ≠ 1 in G there exists an idempotent ei in C and {bkei ∈ Bei; ckei ∈ Cei, k = 1, 2, …, m} such that and gi restricted to C(1 − ei) is an identity, and a structure of a weak center Galois extension with group G is also given.
H‐function with complex parameters II: evaluation
Authors: Al-Musallam Fadhel A. , Tuan Vu Kim
Published: September 2002

Sufficient conditions for computation of the H‐functions with complex parameters by means of residues are derived and some
examples are given.
Fourier transforms of Lipschitz functions on certain Lie groups
Authors: Younis M. S.
Published: September 2002

We study the order of magnitude of the Fourier transforms of certain Lipschitz functions on the special linear group of real matrices of order two.
Nonautonomous differential equations of alternately retarded and advanced type
Authors: Meng Qiong , Yan Jurang
Published: September 2002

We obtain a solution formula of the differential equation . At the same time, we study its oscillation and asymptotic stability properties.
On the strongly starlikeness of multivalently convex functions of order α
Authors: Nunokawa Mamoru , Owa Shigeyoshi , Ikeda Akira
Published: September 2002

The object of the present paper is to derive some sufficient
conditions for strongly starlikeness of multivalently convex functions
of order α in the open unit disc.
On almost periodic solutions of the differential equation x″(t) = Ax(t) in Hilbert spaces
Authors: N′Guerekata Gaston M.
Published: September 2002

We prove almost periodicity of solutions of the equation x″(t) = Ax(t) when the linear operator A satisfies an inequality of the form Re(Ax, x) ≥ 0.
Matrix transformations of starshaped sequences
Authors: Selvaraj Chikkanna R. , Selvaraj Suguna
Published: September 2002

We deal with matrix transformations preserving the starshape of
sequences. The main result gives the necessary and sufficient
conditions for a lower triangular matrix A to preserve the starshape of sequences. Also, we discuss the nature of the
mappings of starshaped sequences by some classical matrices.
Matrix splitting principles
Authors: Woźnicki Zbigniew I.
Published: September 2002

The systematic analysis of convergence conditions, used in
comparison theorems proven for different matrix splittings, is
presented. The central idea of this analysis is the scheme of
condition implications derived from the properties of regular
splittings of a monotone matrix A = M1 − N1 = M2 − N2. An
equivalence of some conditions as well as an autonomous character
of the conditions and A−1N2 ≥ A−1N1 ≥ 0 are pointed out. The
secondary goal is to discuss some essential topics related with
existing comparison theorems.
Liminf and limsup contractions
Authors: Branciari Alberto
Published: September 2002

We give some theorems related to the contraction mapping
principle of Banach‐Caccioppoli and Edelstein. The contractive
conditions we consider involve the quantities lim infξ→⋅d(ξ, fξ) and lim supξ→⋅d(ξ, fξ) instead of d(⋅, f⋅). Some examples are provided to show the difference between our results and the classical ones.
Boundary control problem with an infinite number of variables
Authors: El-Saify Hussain A.
Published: September 2002

Using a previous result by Gali and El‐Saify (1983) and the theory
of Kotarski (1989), and Lions (1971), we formulate the boundary
control problem for a system governed by Neumann problem
involving selfadjoint elliptic operator of 2ℓth order with an infinite number of variables. The inequalities which
characterize the optimal control in terms of the adjoint system are obtained, it is studied in order to construct algorithms attainable to numerical computations for the approximation of the control.
On an application of almost increasing sequences
Authors: Bor Hüseyın
Published: September 2002

Using an almost increasing sequence, a result of Mazhar (1977)
on |C,1|k summability factors has been generalized for |C,α;β|k and summability factors under weaker conditions.
On the recursive sequence xn+1 = −1/xn + A/xn−1
Authors: Stević Stevo
Published: September 2002

We investigate the periodic character of solutions of the
nonlinear difference equation xn+1 = −1/xn + A/xn−1. We give sufficient conditions under which every
positive solution of this equation converges to a period two
solution. This confirms a conjecture in the work of DeVault et al.
(2000).
Factorization of groups involving symmetric and alternating groups
Authors: Darafsheh M. R. , Rezaeezadeh G. R.
Published: September 2002

We obtain the structure of finite groups of the form
G = AB where B is a group isomorphic to the symmetric group on n letters Sn, n ≥ 5 and A is a group isomorphic to the alternating
group on 6 letters.
Higher orbital integrals, Shalika germs, and the Hochschild homology of Hecke algebras
Authors: Nistor Victor
Published: September 2002

We give a detailed calculation of the Hochschild and cyclic homology of the algebra of locally constant, compactly supported functions on a reductive p‐adic group G. We use these calculations to extend to arbitrary elements the definition of the higher orbital integrals introduced by Blanc and Brylinski (1992) for regular semi‐simple elements. Then we extend to higher orbital integrals some results of Shalika (1972). We also investigate the effect of the “induction morphism” on Hochschild homology.
Rate preservation of double sequences under l‐l type transformation
Authors: Patterson Richard F.
Published: September 2002

Following the concepts of divergent rate preservation for ordinary sequences, we present a notion of rates preservation of divergent double sequences under l‐l type transformations. Definitions for Pringsheim limit inferior and superior are also presented. These definitions and the notion of asymptotically equivalent double sequences, are used to present necessary and sufficient conditions on the entries of a four‐dimensional matrix such that, the rate of divergence is preserved for a given double sequences under l‐l type mapping where .
Translation invariance and finite additivity in a probabilitymeasure on the natural numbers
Authors: Gardner Robert , Price Robert
Published: September 2002

Inspired by the “two envelopes exchange paradox,” a finitely
additive probability measure m on the natural numbers is
introduced. The measure is uniform in the sense that
m({i}) = m({j}) for all i, j ∈ ℕ. The measure is
shown to be translation invariant and has such desirable
properties as m({i ∈ ℕ | i ≡ 0(mod2)}) = 1/2. For any r ∈ [0, 1], a set A is constructed such that m(A) = r; however, m is not defined on
the power set of ℕ. Finally, a resolution to the two envelopes exchange paradox is presented in terms of m.
A fixed point theorem for mappings satisfying a general contractive condition of integral type
Authors: Branciari A.
Published: September 2002

We analyze the existence of fixed points for mappings defined on
complete metric spaces (X, d) satisfying a general contractive
inequality of integral type. This condition is analogous to
Banach‐Caccioppoli′s one; in short, we study mappings f : X → X for which there exists a real number
c ∈ ]0, 1[, such that for each x, y ∈ X we have
, where φ : [0, +∞[ → [0, +∞] is a Lebesgue‐integrable mapping which is summable on each compact
subset of [0, +∞[, nonnegative and such that for each
ε > 0, .
Graceful numbers
Authors: Bhutani Kiran R. , Levin Alexander B.
Published: September 2002

We construct a labeled graph D(n) that reflects the structure of divisors of a given natural number n. We define the concept of graceful numbers in terms of this associated graph and find the general form of such a number. As a consequence, we determine which graceful numbers are perfect.
A characterization of harmonic foliations by the volume preserving property of the normal geodesic flow
Authors: Kim Hobum
Published: September 2002

We prove that a Riemannian foliation with the flat normal
connection on a Riemannian manifold is harmonic if and only if
the geodesic flow on the normal bundle preserves the Riemannian
volume form of the canonical metric defined by the adapted connection.
Duality of measure and category in infinite‐dimensional separable Hilbert space ℓ2
Authors: Pantsulaia Gogi
Published: September 2002

We prove that an analogy of the Oxtoby duality principle is not
valid for the concrete nontrivial σ‐finite Borel invariant measure and the Baire category in the classical Hilbert space ℓ2.
On constrained uniform approximation
Authors: Bokhari M. A.
Published: September 2002

The problem of uniform approximants subject to Hermite
interpolatory constraints is considered with an alternate
approach. The uniqueness and the convergence aspects of this
problem are also discussed. Our approach is based on work of P.
Kirchberger (1903) and a generalization of Weierstrass
approximation theorem.
Opial type Lp‐inequalities for fractional derivatives
Authors: Anastassiou G. A. , Koliha J. J. , Pečarić J.
Published: September 2002

This paper presents a class of Lp‐type Opial inequalities for
generalized fractional derivatives for integrable functions based on the results obtained earlier by the first author for continuous functions (1998). The novelty of our approach is the use of the index law for fractional derivatives in lieu of Taylor′s formula, which enables us to relax restrictions on the orders of fractional derivatives.
On composition of formal power series
Authors: Gan Xiao-Xiong , Knox Nathaniel
Published: September 2002

Given a formal power series g(x) = b0 + b1x + b2x2 + ⋯ and a nonunit f(x) = a1x + a2x2 + ⋯, it is well known that the composition of g with f, g(f(x)), is a formal power series. If the formal power series f above is not a nonunit, that is, the constant term of f is not zero, the existence of the composition g(f(x)) has been an open problem for many years. The recent development investigated the radius of convergence of a composed formal power series like f above and obtained some very good results. This note gives a necessary and sufficient condition for the existence of the composition of some formal power series. By means of the theorems established in this note, the existence of the composition of a nonunit formal power series is a special case.
Bounded solutions for fuzzy integral equations
Authors: Georgiou D. N. , Kougias I. E.
Published: September 2002

We study conditions under which the solutions of a fuzzy integral
equation are bounded.
A note on regular rings with stable range one
Authors: Chen H. V. , Chin A. Y. M.
Published: September 2002

It is known that a regular ring has stable range one if and only
if it is unit regular. The purpose of this note is to give an
independent and more elementary proof of this result.
γ‐sets and γ‐continuous functions
Authors: Min Won Keun
Published: September 2002

We introduce a new class of sets, called
γ‐sets, and the notion of γ‐continuity and
investigate some properties and characterizations. In particular,
γ‐sets and γ‐continuity are used to extend known
results for semi‐open sets and semi‐continuity.
CR‐submanifolds of a nearly trans‐Sasakian manifold
Authors: Al-Solamy Falleh R.
Published: September 2002

This paper considers the study of CR‐submanifolds of a nearly
trans‐Sasakian manifold, generalizing the results of
trans‐Sasakian manifolds and thus those of Sasakian manifolds.
Comparison theorems for ultrahyperbolic equations
Authors: Travis C. C. , Young E. C.
Published: September 2002

Sturmian comparison theorems are obtained for solutions of a class of normal and singular ultrahyperbolic partial differential equations. In the singular case, solutions are considered which satisfy non‐standard boundary conditions.
A fixed point theorem for a nonlinear type contraction
Authors: Husain S. A. , Sehgal V. M.
Published: September 2002

A well‐known result of Boyd and Wong [1] on nonlinear contractions is extended. Several other known results are obtained as special cases.
An example of a Bloch function
Authors: Timoney Richard M.
Published: September 2002

A Bloch function is exhibited which has radial limits of modulus one almost everywhere but fails to belong to Hp for each 0 < p ≤ ∞.
On an initial‐boundary value problem for the nonlinear Schrödinger equation
Authors: Gajewski Herbert
Published: September 2002

We study an initial‐boundary value problem for the nonlinear Schrödinger equation, a simple mathematical model for the interaction between electromagnetic waves and a plasma layer. We prove a global existence and uniqueness theorem and establish a Galerkin method for solving numerically the problem.
A distributional Hardy transformation
Authors: Pathak R. S. , Pandey J. N.
Published: September 2002

The Hardy′s F‐transform

urn:x-wiley:01611712:media:ijmm713614:ijmm713614-math-0001

is extended to distributions. The corresponding inversion formula

urn:x-wiley:01611712:media:ijmm713614:ijmm713614-math-0002

is shown to be valid in the weak distributional sense. This is accomplished by transferring the inversion formula onto the testing function space for the generalized functions under consideration and then showing that the limiting process in the resulting formula converges with respect to the topology of the testing function space.
Recent development in the theory of linear partial differential equations
Authors: Dieudonné Jean
Published: September 2002

A historical development of the theory of linear partial differential equation is reviewed with comments. A recent development in the theory of linear partial differential equations is discussed.
Existence and decay of solutions of some nonlinear parabolic variational inequalities
Authors: Nakao Mitsuhiro , Narazaki Takashi
Published: September 2002

This paper discusses the existence and decay of solutions u(t) of the variational inequality of parabolic type:

urn:x-wiley:01611712:media:ijmm307351:ijmm307351-math-0001

for ∀v ∈ Lp([0, ∞); V)(p≧2) with v(t) ∈ K a.e. in [0, ∞), where K is a closed convex set of a separable uniformly convex Banach space V, A is a nonlinear monotone operator from V to V* and B is a nonlinear operator from Banach space W to W*. V and W are related as V ⊂ W ⊂ H for a Hilbert space H. No monotonicity assumption is made on B.
On generalized quaternion algebras
Authors: Szeto George
Published: September 2002

Let B be a commutative ring with 1, and G( = {σ}) an automorphism group of B of order 2. The generalized quaternion ring extension B[j] over B is defined by S. Parimala and R. Sridharan such that (1) B[j] is a free B‐module with a basis {1, j}, and (2) j2 = −1 and jb = σ(b)j for each b in B. The purpose of this paper is to study the separability of B[j]. The separable extension of B[j] over B is characterized in terms of the trace ( = 1 + σ) of B over the subring of fixed elements under σ. Also, the characterization of a Galois extension of a commutative ring given by Parimala and Sridharan is improved.
Bilateral generating functions for a new class of generalized Legendre polynominals
Authors: Srivastava A. N. , Singh S. D. , Singh S. N.
Published: September 2002

Recently Chatterjea (1) has proved a theorem to deduce a bilateral generating function for the Ultraspherical polynomials. In the present paper an attempt has been made to give a general version of Chatterjea′s theorem. Finally, the theorem has been specialized to obtain a bilateral generating function for a class of polynomials {Pn(x; α, β)} introduced by Bhattacharjya (2).
A finite element method for exterior interface problems
Authors: Maccamy R. C. , Marin S. P.
Published: September 2002

A procedure is given for the approximate solution of a class of two‐dimensional diffraction problems. Here the usual inner boundary conditions are replaced by an inner region together with interface conditions. The interface problem is treated by a variational procedure into which the infinite region behavior is incorporated by the use of a non‐local boundary condition over an auxiliary curve. The variational problem is formulated and existence of a solution established. Then a corresponding approximate variational problem is given and optimal convergence results established. Numerical results are presented which confirm the convergence rates.
Projection operator techniques in Lagrangian mechanics: symmetrically coupled oscillators
Authors: Boyd J. N. , Raychowdhury P. N.
Published: September 2002

We apply projection operator techniques to the computation of the natural frequencies of oscillation for three symmetrically coupled mechanical systems. In each case, the rotation subgroup of the full symmetry group is used to determine the projection operators with the result that the Lagrangian must be expressed in terms of complex‐valued coordinates. In the coordinate system obtained from the action of the projection operators upon the original coordinates, the Lagrangian yields equations of motion which are separated to the maximum extent made possible by symmetry considerations.
A note on the subclass algebra
Authors: Karlof John
Published: September 2002

Each irreducible character of the subclass algebra is paired up with its irreducible module.
Generalized Köthe‐Toeplitz duals
Authors: Maddox I. J.
Published: September 2002

The α and β‐duals spaces of generalized ℓp spaces are characterized, where 0 < p ≤ ∞. The question of when the α and β dual spaces coincide is also considered.
Some fixed point theorems for set valued directional contraction mappings
Authors: Sehgal V. M.
Published: September 2002

Let S be a subset of a metric space X and let B(X) be the class of all nonempty bounded subsets of X with the Hausdorff pseudometric H. A mapping F : S → B(X) is a directional contraction iff there exists a real α ∈ [0, 1) such that for each x ∈ S and y ∈ F(x), H(F(x), F(z)) ≤ αd(x, z) for each z ∈ [x, y]∩S, where [x, y] = {z ∈ X : d(x, z) + d(z, y) = d(x, y)}. In this paper, sufficient conditions are given under which such mappings have a fixed point.
Approximation of the semi‐infinite interval
Authors: Mercer A. McD.
Published: September 2002

The approximation of a function f ∈ C[a, b] by Bernstein polynomials is well‐known. It is based on the binomial distribution. O. Szasz has shown that there are analogous approximations on the interval [0, ∞) based on the Poisson distribution. Recently R. Mohapatra has generalized Szasz′ result to the case in which the approximating function is

urn:x-wiley:01611712:media:ijmm891468:ijmm891468-math-0001

The present note shows that these results are special cases of a Tauberian theorem for certain infinite series having positive coefficients.
Moments of probability measures on a group
Authors: Heyer Herbert
Published: September 2002

New developments and results in the theory of expectatiors and variances for random variables with range in a topological group are presented in the following order (i) Introduction (2) Basic notions (3) The three series theorem in Banach spaces (4) Moment Conditions (5) Expectations and variances (6) A general three series theorem (7) The special cases of finite groups and Lie groups (8)The strong laws of large numbers on a Lie group (9) Further studies on
moments of probability measures.
Abelian theorems for the stieltjes transform of functions, II
Authors: Carmichael Richard D. , Hayashi Elmer K.
Published: September 2002

An initial (final) value Abelian theorem concerning transforms of functions
is a result in which known behavior of the function as its domain variable approaches zero (approaches ∞) is used to infer the behavior of the transform as its domain variable approaches zero (approaches ∞). We obtain such theorems in this paper concerning the Stieltjes transform. In our results all parameters are complex; the variable s of the transform is complex in the right half plane; and the initial (final) value Abelian theorems are obtained as |s| → 0(|s| → ∞) within an arbitrary wedge in the right half plane.
On the noncentral distribution of the ratio of the extreme roots of wishart matrix
Authors: Waikar V. B.
Published: September 2002

The distribution of the ratio of the extreme latent roots of the Wishart matrix is useful in testing the sphericity hypothesis for a multivariate normal population. Let X be a p × n matrix whose columns are distributed independently as multivariate normal with zero mean vector and covariance matrix ∑. Further, let S = XX′ and let 11 > …>1p > 0 be the characteristic roots of S. Thus S has a noncentral Wishart distribution. In this paper, the exact distribution of fp = 1 − 1p/11 is derived. The density of fp is given in terms of zonal polynomials. These results have applications in nuclear physics also.
On the consistency of limitation methods for (N, pn) summable sequences
Authors: Kishore Nand , Misra U. K.
Published: September 2002

Two limitation methods, A and B, are said to be consistent for a class b of sequences, iff, every sequence belonging to b is limitable both by A
and B and that the A‐limit equals the B‐limit. Any two regular limitation methods are consistent for the class‐c of convergent sequences. However, this is not true in general and in fact, corresponding to every bounded non‐convergent sequence it is possible to determine two T‐matrices such that they limit the sequence to two different values. In this paper, we establish the necessary and sufficient conditions for the consistency of two limitation methods, for (N, pn) summable sequences.
Bounded index, entire solutions of ordinary differential equations and summability methods
Authors: Fricke G. H. , Roy Ranjan , Shah S. M.
Published: September 2002

A brief survey of recent results on functions of bounded index and bounded index summability methods is given. Theorems on entire solutions of ordinary differential equations with polynomial coefficients are included.
Semi separation axioms and hyperspaces
Authors: Dorsett Charles
Published: September 2002

In this paper examples are given to show that s‐regular and s‐normal are independent; that s‐normal, and s‐regular are not semi topological properties; and that (S(X), E(X)) need not be semi‐T1 even if (X, T) is compact, s‐normal, s‐regular, semi‐T2, and T0. Also, it is shown that for each space (X, T), (S(X), E(X)), (S(X0), E(X0)), and (S(XS0), E(XS0)) are homeomorphic, where (X0, Q(X0)) is the T0‐identification space of (X, T) and (XS0, Q(XS0)) is the semi‐T0‐identification space of (X, T), and that if (X, T) is s‐regular and R0, then (S(X), E(X)) is semi‐T2.
A note on power invariant rings
Authors: Kim Joong Ho
Published: September 2002

Let R be a commutative ring with identity and R((n)) = R[[X1, …, Xn]] the power series ring in n independent indeterminates X1, …, Xn over R. R is called power invariant if whenever S is a ring such that R[[X1]]≅S[[X1]], then R≅S. R is said to be forever‐power‐invariant if S is a ring and n is any positive integer such that R((n))≅S((n)) then R≅S Let IC(R) denote the set of all a ∈ R such that there is R‐ homomorphism σ : R[[X]] → R with σ(X) = a. Then IC(R) is an ideal of R. It is shown that if IC(R) is nil, R is forever‐power‐invariant
Integral operators in the theory of induced Banach representation II. The bundle approach
Authors: Schochetman I. E.
Published: September 2002

Let G be a locally compact group, H a closed subgroup and L a Banach representation of H. Suppose U is a Banach representation of G which is induced by L. Here, we continue our program of showing that certain operators of the integrated form of U can be written as integral operators with continuous kernels. Specifically, we show that: (1) the representation space of a Banach bundle; (2) the above operators become integral operators on this space with kernels which are continuous cross‐sections of an associated kernel bundle.
Rational modules and higher order Cauchy transforms
Authors: Wang James Li-Ming
Published: September 2002

We apply the higher order Cauchy transforms to describe the closures of
rational modules with respect to the LP norms, the uniform norm and different Lipschitz norms on a compact set in the plane.
Collineation groups of translation planes of small dimension
Authors: Ostrom T. G.
Published: September 2002

A subgroup of the linear translation complement of a translation plane is
geometrically irreducible if it has no invariant lines or subplanes. A similar definition can be given for “geometrically primitive”. If a group is geometrically primitive and solvable then it is fixed point free or metacyclic or has a normal subgroup of order w2a+b where wa divides the dimension of the vector space. Similar conditions hold for solvable normal subgroups of geometrically primitive nonsolvable groups. When the dimension of the vector space is small there are restrictions on the group which might possibly be in the translation complement. We look at the situation for certain orders of the plane.
Fast methods for the solution of singular integro‐differential and differential equations
Authors: Abd-Elal L. F.
Published: September 2002

Uniform methods based on the use of the Galerkin method and different
Chebyshev expansion sets are developed for the numerical solution of linear integrodifferential
equations of the first order. These methods take a total solution time 0(N2lnN) using N expansion functions, and also provide error extimates which are cheap to compute. These methods solve both singular and regular integro‐differential equations. The methods are also used in solving differential equations.
Relativistic segnificance of curvature tensors
Authors: Pokhariyal G. P.
Published: September 2002

In thi paper new curvature tensors have been defined on the lines of Weyl′s projective curvature tensor and it has been shown that the “distribution” (order in which the vectors in question are arranged before being acted upon by the tensor in question) of vector field over the metric potentials and matter tensors plays an important role in shaping the various physical and geometrical properties of a tensor viz the formulation of gravitational waves, reduction of electromagnetic field to a purely electric field, vanishing of the contracted tensor in an Einstein Space and the cyclic property.
Nontrivial isometries on sp(α)
Authors: Campbell Stephen L.
Published: September 2002

sp(α) is a Banach space of sequences x with . For 1 < p < ∞, p ≠ 2, 0 < α < ∞, α ≠ 1, there are no nontrivial surjective isometries in sp(α). It has been conjectured that there are no nontrivial isometries. This note gives two distinct counterexamples to this conjecture and a partial affirmative answer for the case of isometries with finite codimension.
Positive solutions of the diophantine equation
Authors: Utz W. R.
Published: September 2002

Integral solutions of x3 + λy + 1 − xyz = 0 are observed for all integral λ. For λ = 2 the 13 solutions of the equation in positive integers are determined. Solutions of the equation in positive integers were previously determined for the case λ = 1.
The Kluvanek‐Kantorovitz characterization of scalar operators in locally convex spaces
Authors: Smith William V.
Published: September 2002

This paper is devoted to a proof of the characterization without duality theory, using strong integrals, while eliminating any assumptions of barrelledness or equicontinuity.
Magnetohydrodynamic cross‐field boundary layer flow
Authors: Ingham D. B. , Hildyard L. T.
Published: September 2002

The Blasius boundary layer on a flat plate in the presence of a constant ambient magnetic field is examined. A numerical integration of the MHD boundary layer equations from the leading edge is presented showing how the asymptotic solution described by Sears is approached.
Second degree polynomials and the fundamental theorems of harmonic analysis
Authors: McKennon Kelly
Published: September 2002

The concept of a second degree polynomial with nonzero subdegree is investigated
for Abelian groups, and it is shown how such polynomials can be exploited to produce elementary proofs for the Uniqueness Theorem and the Fourier Inversion Theorem in abstract harmonic analysis.
The Krull radical, k‐primitive rings, and critical rings
Authors: Tucci Ralph
Published: September 2002

We generalize results on the Krull radical, k‐primitive rings, and critical rings from rings with identity to rings which do not necessarily contain identity.
On separable abelian extensions of rings
Authors: Szeto George
Published: September 2002

Let R be a ring with 1, G( = 〈ρ1〉 × …×〈ρm〉) a finite abelian automorphism group of R of order n where 〈ρi〉 is cyclic of order ni. for some integers n, ni, and m, and C the center of R whose automorphism group induced by G is isomorphic with G. Then an abelian extension R[x1, …, xm] is defined as a generalization of cyclic extensions of rings, and R[x1, …, xm] is an Azumaya algebra over K( = CG = {c   in   C/(c)ρi = c   for each   ρi   in   G}) such that R[x1, …, xm]≅RG⊗KC[x1, …, xm] if and only if C is Galois over K with Galois group G (the Kanzaki hypothesis).
On the product of the self‐adjoint operators
Authors: Rehder Wulf
Published: September 2002

A proof is given for the fact that the product of two self‐adjoint operators, one of which is also positive, is again self‐adjoint if and only if the product is normal. This theorem applies, in particular, if one operator is an orthogonal projection. In general, the positivity requirement cannot be dropped.
Convolutions of prestarlike functions
Authors: Ahuja O. P. , Silverman H.
Published: September 2002

The convolution of two functions and defined as . For and g(z) = z/(1−z)2(1−γ), the extremal function for the class of functions starlike of order γ, we investigate functions h, where h(z) = (f∗g)(z), which satisfy the inequality |(zh′/h) − 1|/|(zh′/h) + (1 − 2α)| < β, 0 ≤ α < 1, 0 < β ≤ 1 for all z in the unit disk. Such functions f are said to be γ‐prestarlike of order α and type β. We characterize this family in terms of its coefficients, and then determine extreme
points, distortion theorems, and radii of univalence, starlikeness, and convexity. All results are sharp.
Complete convergence for weighted sums of arrays of random elements
Authors: Taylor Robert Lee
Published: September 2002

Let {Xnk : k, n = 1, 2, …} be an array of row‐wise independent random elements in a separable Banach space. Let {ank : k, n = 1, 2, …} be an array of real numbers such that and for each α ϵ R+ where . The complete convergence of is obtained under varying moment and distribution conditions on the random elements. In particular, laws of large numbers follow for triangular arrays of random elements, and consistency of the kernel density estimates is obtained from these results.
Nonlinear oscillations in disconjugate forced functional equations with deviating arguments
Authors: Singh Bhagat
Published: September 2002

For the equation

urn:x-wiley:01611712:media:ijmm747050:ijmm747050-math-0001

where

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sufficient conditions have been found for all of its solutions to be oscillatory. The conditions found also lead to growth estimates for tle nonoscillatory solutions.