generalization of the stolarsky type inequality for pseudo integrals in this paper we prove a stolarsky type inequality for two classes of pseudo integrals one of them deals with pseudo integrals where pseudo operations are defined via a monotone and continuous generator function the other one concerns the pseudo integrals based on a semiring with an idempotent addition and a generated pseudo multiplication

on some advanced type inequalities for sugeno integral and t s evaluators in this paper strengthened versions of the minkowski chebyshev jensen and holder inequalities for sugeno integral and t s evaluators are given as an application some equivalent forms and some particular results have been established

general chebyshev type inequalities for universal integral a new inequality for the universal integral on abstract spaces is obtained in a rather general form as two corollaries minkowski s and chebyshev s type inequalities for the universal integral are obtained the main results of this paper generalize some previous results obtained for special fuzzy integrals e g choquet and sugeno integrals furthermore related inequalities for seminormed integral are obtained

effect of the storage format of sparse linear systems on parallel cfd computations abstract implicit solutions of computational fluid dynamics cfd problems require the iterative solution of very large systems of equations this paper investigates the comparative costs of two storage formats for large sparse matrices namely the compressed sparse row csr and bsr storage formats for various solution strategies the block structure of the bsr storage format is highly advantageous in applications which have several degrees of freedom per nodal point such as cfd calculations depending on the solution strategy overall reductions in both cpu time and memory can be as high as 30 50 such gains are especially appreciable in large 3d flow calculations

a liapunov type inequality for sugeno integrals abstract the classical liapunov inequality shows an interesting upper bound for the lebesgue integral of the product of two functions this paper proposes a liapunov type inequality for sugeno integrals that is we show that h s t r s 0 1 f x s d r t s 0 1 f x t d r s s 0 1 f x r d s t holds for some constant h s t r where 0 t s r f 0 1 0 is a non increasing concave function and is the lebesgue measure on r we also present two interesting classes of functions for which the classical liapunov type inequality for sugeno integrals with h s t r 1 holds some examples are provided to illustrate the validity of the proposed inequality

sandor s inequality for sugeno integrals abstract in this paper we prove a fuzzy integral inequality for convex functions our results improve recent results that appear in literature some examples are given to illustrate our theorems

general related inequalities to carlson type inequality for the sugeno integral in this paper the carlson type inequality for the sugeno integral is generalized on an abstract fuzzy measure space x moreover several examples are given to illustrate the validity of main results

steffensen type inequalities for fuzzy integrals we provide several steffensen type inequalities for the sugeno integral the inequalities are of the form a b f g d a a a f d b or a b f g d a b b f d b where a b are constants is a fuzzy measure on r g a b 0 1 f a b r is nonincreasing or nondecreasing and b a a b g d we show that some of our sufficient conditions are also necessary

reversed version of a generalized sharp holder s inequality and its applications in this paper we give a reversed version of a generalized sharp holder s inequality which is due to wu the results are then used to improve beckenbach s inequality and minkowski s inequality moreover as an application in information theory we present a refinement of singh s inequality which is one generalized shannon s inequality

general barnes godunova levin type inequalities for sugeno integral integral inequalities play important roles in classical probability and measure theory non additive measure is a generalization of additive probability measure sugeno s integral is a useful tool in several theoretical and applied statistics which has been built on non additive measure for instance in decision theory the sugeno integral is a median which is indeed a qualitative counterpart to the averaging operation underlying expected utility in this paper barnes godunova levin type inequalities for the sugeno integral on abstract spaces are studied in a rather general form and for this we introduce some new technics for the treatment of concave functions in the sugeno integration context also several examples are given to illustrate the validity of this inequality moreover a strengthened version of barnes godunova levin type inequality for sugeno integrals on a real interval based on a binary operation is presented

generalizations of the chebyshev type inequality for choquet like expectation this paper proves generalizations of the chebyshev type inequality for choquet like expectation some previous results are obtained as corollaries

galois representations and torsion in the coherent cohomology of hilbert modular varieties let f be a totally real number eld and let p be a prime unramied in f we prove the existence of galois pseudo representations attached to modp m hecke eigenclasses of paritious weight occurring in the coherent cohomology of hilbert modular varieties forf of level prime to p

on the comonotonic property for sugeno integral the so called comonotonic property for sugeno integral is introduced and investigated where 0 2 0 is a binary operation under the assumption that lim b a email protected a and lim a a email protected b we prove that sugeno integral possesses comonotonic property if and only if equals to one of the four operators minimum maximum pf the first projection and pl the last projection we also discuss comonotonic property when this assumption does not hold

chebyshev type inequalities for general fuzzy integrals abstract in this article we first introduce a class of binary operation called g seminorm which generalizes the concept of t seminorm then we use the g seminorm to define a class of sugeno like integral finally we establish some new chebyshev type inequalities for this kind of integral

a convolution type inequality for fuzzy integrals in this paper we show a bushell okrasinski type inequality for fuzzy integrals more precisely we show that s 01 1 t s 1g t sdt 01g t dts where g 0 1 0 is a continuous and strictly decreasing function and s 2

inequalities of the chebyshev type based on pseudo integrals this paper presents the chebyshev type of pseudo integral inequalities with the particular emphasis on the g semirings with the suitable choice of the generator g the pseudo expectation and pseudo moments exist for the cauchy distribution in general case the standard expectation and moments for the cauchy distribution are not defined the computation of the pseudo expectation for the cauchy distribution and some examples that illustrate the applicability of the introduced generalization are also given in the paper

holder and minkowski type inequalities for pseudo integral abstract there are proven generalizations of the holder s and minkowski s inequalities for the pseudo integral there are considered two cases of the real semiring with pseudo operations one when pseudo operations are defined by monotone and continuous function g the second semiring a b sup where is generated and the third semiring where both pseudo operations are idempotent i e sup and inf

an inequality related to minkowski type for sugeno integrals an inequality related to minkowski type for the sugeno integral on abstract spaces is studied in a rather general form some previous results on chebyshev type inequality obtained by the authors are generalized several examples are given to illustrate the validity of this inequality the conditions such that this inequality becomes an equality are also discussed finally conclusions and some problems for further investigations are included

chebyshev s inequality for choquet like integral abstract the chebyshev inequality for the choquet like integral is investigated as an application a markov s inequality for this type of integral is proven some previous results obtained by others are generalized

on stolarsky inequality for sugeno and choquet integrals recently flores franulic roman flores and chalco cano proved the stolarsky type inequality for sugeno integral with respect to the lebesgue measure l the present paper is devoted to generalize this result by relaxing some of its requirements moreover stolarsky inequality for choquet integral is added too

algebraic multilevel method with application to the maxwell equations a multilevel method for the iterative solution of large sparse linear systems is introduced the method is defined in terms of the coefficient matrix alone no underlying pde or mesh is assumed the method is applied to the nonhermitian complex maxwell equations in 3d when supplemented with outer acceleration the v 1 5 cycle yields the convergence factor 0 4

toward textbook multigrid efficiency for fully implicit resistive magnetohydrodynamics multigrid methods can solve some classes of elliptic and parabolic equations to accuracy below the truncation error with a work cost equivalent to a few residual calculations so called textbook multigrid efficiency we investigate methods to solve the system of equations that arise in time dependent magnetohydrodynamics mhd simulations with textbook multigrid efficiency we apply multigrid techniques such as geometric interpolation full approximate storage gauss seidel smoothers and defect correction for fully implicit nonlinear second order finite volume discretizations of mhd we apply these methods to a standard resistive mhd benchmark problem the gem reconnection problem and add a strong magnetic guide field which is a critical characteristic of magnetically confined fusion plasmas we show that our multigrid methods can achieve near textbook efficiency on fully implicit resistive mhd simulations

hermite hadamard inequality for fuzzy integrals in this paper we prove a hermite hadamard type inequality for fuzzy integrals some examples are given to illustrate the results

on galois representations associated to hilbert modular forms in this paper we prove that to any hilbert cuspidal eigenform one may attach a compatible system of galois representations this result extends the analogous results of deligne and deligne serre for elliptic modular forms the principal work on this conjecture was carried out by carayol and taylor but their results left one case remaining which we complete in this paper we also investigate the compatibility of our results with the local langlands correspondence and prove that whenever the local component of the automorphic representation is not special then the results coincide

non cuspidal hida theory for siegel modular forms and trivial zeros of p adic l functions we study the derivative of the standard p adic l function associated with a p ordinary siegel modular form for p a parabolic subgroup of mathrm gl n when it presents a semi stable trivial zero this implies part of greenberg s conjecture on the order and leading coefficient of p adic l functions at such trivial zero we use the method of greenberg stevens for the construction of the improvedp adic l function we develop hida theory for non cuspidal siegel modular forms

generalization of the jensen inequality for pseudo integral generalizations of the jensen integral inequality for the pseudo integral are proven there are considered two cases of the real semiring with pseudo operations one when pseudo operations are defined by monotone and continuous function g then the pseudo integral reduces on g integral and the second semiring a b max where the pseudo multiplication is generated

jensen type inequalities for sugeno integral in this paper the classical jensen inequalities for concave function i e f x d f d and i 1 n i x i i 1 n i x i are adapted for the sugeno integral using the notion of the supergradient moreover we give some modifications of previous results of roman flores et al concerning jensen type inequalities for sugeno integral some examples in the framework of the lebesgue measure and counting measure to illustrate the results are presented

a hardy type inequality for fuzzy integrals abstract in this paper we prove a hardy type inequality for fuzzy integrals more precisely we show that 0 1 f p x d x 1 p 1 0 1 f x p d x where p 1 f 0 1 0 is an integrable function and f x 0 x f t d t an analogous inequality is also obtained on the interval 0

on chebyshev type inequalities for generalized sugeno integrals abstract we give the necessary and sufficient conditions guaranteeing the validity of chebyshev type inequalities for generalized sugeno integrals in the case of functions belonging to a much wider class than the comonotone functions for several choices of operators we characterize the classes of functions for which the chebyshev type inequality for the classical sugeno integral is satisfied

holder type inequality for sugeno integral two inequalities for the sugeno integral on abstract spaces are studied in rather general forms which generalize most of the results on the same topic obtained by other authors thus closing the series of papers on this topic as an application a holder type inequality is obtained finally some conclusions are drawn and some problems for further investigation are suggested

an algebraic multilevel parallelizable preconditioner for large scale cfd problems abstract an efficient parallelizable preconditioner for solving large scale cfd problems is presented it is adapted to coarse grain parallelism and can be used for both shared and distributed memory parallel computers the proposed preconditioner consists of two independent approximations of the system matrix the first one is a block diagonal fully parallelizable approximation of the given system the second matrix is coarser than the original one and is built using algebraic multi grid methods the preconditioner is used to compute the steady solution of the compressible navier stokes equations for subsonic laminar flows on shared memory computers for a moderate number of processors the coupled two level preconditioner is robust and has a large potential for parallelism interesting savings in computational time for parallel computations are obtained when comparing the two level preconditioner with the well known incomplete gaussian factorization

a note on the chebyshev type inequality of sugeno integrals this paper improves on previous work presenting a chebyshev type inequality for sugeno integrals it derives a new inequality applicable to the sugeno integrals s 0 1f s 0 1g and s 0 1fg of real functions f g on 0 1 examples are given to illustrate the results

the effect of ordering on preconditioned gmres algorithm for solving the compressible navier stokes equations we investigate the effect of the ordering of the blocks of unknowns on the rate of convergence of a preconditioned non linear gmres algorithm for solving the navier stokes equations for compressible flows using finite element methods on unstructured grids the gmres algorithm is preconditioned by an incomplete ldu block factorization of the jacobian matrix associated with the non linear problem to solve we examine a wide range of ordering methods including minimum degree reverse cuthill mckee and snake and consider preconditionings without fill in we show empirically that there can be a significant difference in the number of iterations required by the preconditioned non linear gmres method and suggest a criterion for choosing a good ordering algorithm according to the problem to solve we also consider the effect of orderings when an incomplete factorization which allows some fill in is performed we consider the effect of automatically controlling the sparsity of the incomplete factorization through the level of fill in finally following the principal ideas of non linear gmres algorithm we suggest other inexact newton methods

on a version of fuzzy jensen inequality based on the measure of level set abstract in this paper we present a sufficient condition for the continuity of distribution function f based on a condition of the measure of level sets from this result an estimate of jensen type inequality for sugeno integral is stated finally it is applied to establish jensen type estimates for several kinds of fuzzy numbers

general chebyshev type inequalities for sugeno integrals chebyshev type inequalities for the sugeno integral on abstract spaces are studied in a rather general form thus closing the series of papers on the topic dealing with special cases restricted to the real line and product operation

a jensen type inequality for fuzzy integrals in this paper we show a jensen type inequality for the sugeno integral we also discuss some conditions assuring the satisfaction of opposite inequality reverse jensen inequality

a note on fuzzy integral inequality of stolarsky type abstract in this paper we prove a stolarsky type inequality for fuzzy integrals more precisely we show that 0 1 f x 1 a b d 0 1 f x 1 a d 0 1 f x 1 b d where a b 0 f 0 1 0 1 is a continuous and strictly monotone function and is the lebesgue measure on r

some integral inequalities for fuzzy interval valued functions abstract this study presents new fuzzy versions of minkowski and beckenbach s integral inequalities without making use of the sugeno integral these new inequalities generalize the interval versions of the minkowski and beckenbach inequalities recently published and are obtained by introducing the p f a integrability concept for fuzzy interval valued functions by means of the kaleva integral and a fuzzy order relation this fuzzy order relation is defined level wise through the kulisch miranker order relation given on the interval space numerical examples that illustrate the applicability of the theory developed in this study are presented

parallelizable block diagonal preconditioners for the compressible navier stokes equations abstract we propose a new block diagonal preconditioner for solving the navier stokes equations for compressible 2d flows using finite element methods on unstructured grids and discuss the parallelization of this method the core of the navier stokes solver is the coupled solution of the nonlinear equations at each time step by a preconditioned nonlinear gmres algorithm in this work we suggest to partition the jacobian matrix a into n n blocks n being the number of available processors in practice our goal is to obtain good results on commonly available parallel workstations with from 4 to 16 processors special attention is paid to the partitioning strategy which is easily generalizable to 3d problems we approximate a by a n taking only the non zero coefficients lying in the diagonal blocks of a we show that with an appropriate partitioning strategy and a convenient node reordering the ilu 0 factorization of a n is an effective preconditioner of the nonlinear gmres algorithm because of its diagonal block structure both the factorization and the triangular system solution steps associated with the preconditioning matrix can then be parallelized numerical results are presented for several transonic and supersonic calculations around a naca 0012 aerofoil

general hardy type inequality for seminormed fuzzy integrals hardy type inequality for seminormed fuzzy integrals based on an aggregation function is studied in a rather general form the main results of this paper generalize some previous results also some conclusions are drawn and some problems for further investigations are given

on the jensen type inequality for generalized sugeno integral we prove necessary and sufficient conditions for the validity of jensen type inequalities for generalized sugeno integral our proofs make no appeal to the continuity of neither the fuzzy measure nor the operators for several choices of operators we characterize the classes of functions for which the corresponding inequalities are satisfied

h continuity of fuzzy measures and set defuzzification the purpose of this work is to analyze the continuity of fuzzy measures with respect to the hausdorff metric on k r n the class of all nonempty compact subsets of r n as an application we study the continuity of set defuzzification processes on r n which are defined by aumann integral methods

pseudo lp space and convergence in the framework of the pseudo analysis the classical l p space is generalized and there are proved important properties of introduced space three types of convergence of sequences of measurable functions are considered in this space the inequalities for integrals based on pseudo integral have been recently proposed as the holder minkowski and markov inequalities which are applied in observing relationship among introduced convergences

berwald type inequality for sugeno integral abstract nonadditive measure is a generalization of additive probability measure sugeno integral is a useful tool in several theoretical and applied statistics which has been built on non additive measure integral inequalities play important roles in classical probability and measure theory the classical berwald integral inequality is one of the famous inequalities this inequality turns out to have interesting applications in information theory in this paper berwald type inequality for the sugeno integral based on a concave function is studied several examples are given to illustrate the validity of this inequality finally a conclusion is drawn and a problem for further investigations is given

a chebyshev type inequality for fuzzy integrals abstract in this paper we prove a chebyshev type inequality for fuzzy integrals more precisely we show that 0 1 fg d 0 1 f d 0 1 g d where is the lebesgue measure on r and f g 0 1 0 are two continuous and strictly monotone functions both increasing or both decreasing also some examples and applications are presented

chebyshev type inequalities for pseudo integrals abstract chebyshev type inequalities for two classes of pseudo integrals are shown one of them concerning the pseudo integrals based on a function reduces on the g integral where pseudo operations are defined by a monotone and continuous function g another one concerns the pseudo integrals based on a semiring a b max where is generated moreover a strengthened version of chebyshev s inequality for pseudo integrals is proved

fatou s lemma for sugeno integral abstract fatou s lemma plays an important role in classical probability and measure theory non additive measure is a generalization of additive probability measure sugeno s integral is a useful tool in several theoretical and applied statistics which have been built on non additive measure in this paper a fatou type lemma for sugeno integral is shown the studied inequality is based on the classical fatou lemma for lebesgue integral to illustrate the proposed inequalities some examples are given

a transpose free quasi minimal residual algorithm for non hermitian linear systems the biconjugate gradient method bcg for solving general non hermitian linear systems ax b and its transpose free variant the conjugate gradients squared algorithm cgs both typically exhib

chebyshev inequality for sugeno integrals in this paper we study chebyshev inequality for sugeno integrals on an arbitrary fuzzy measure space particularly we obtain other chebyshev type inequalities which relate the measure of a level set of the maximum and the sum of two non negative integrable functions and their integrals finally we apply our results to the case of comonotone functions

the fuzzy integral for monotone functions abstract in this paper we give some optimal upper bounds for the sugeno s integral of monotone functions more precisely we show that if g 0 0 is a continuous and strictly monotone function then the fuzzy integral value p 0 a g d with respect to the lebesgue measure verifies the following sharp inequalities a g a p p for the increasing case and b g p p for the decreasing case moreover we show that under adequate conditions these optimal inequalities provides a powerful tool for solving fuzzy integrals also some examples and application are presented

λ generalized sugeno integral and its application sugeno integral is a useful tool for many problems in several domains especially in game theory measure theory decision making probability image processing and finance in this paper we introduce the concept of generalized sugeno integral then we establish general versions of chebyshev type inequality for this kind of sugeno integral by using a monotone measure our results generalize and improve the corresponding ones in the literature finally some conclusions and problems for further investigations are given

generalization of the lyapunov type inequality for pseudo integrals we prove two kinds of lyapunov type inequalities for pseudo integrals one discusses pseudo integrals where pseudo operations are given by a monotone and continuous function g the other one focuses on the pseudo integrals based on a semiring 0 1 sup where the pseudo multiplication is generated some examples are given to illustrate the validity of these inequalities

markov type inequalities for fuzzy integrals in this paper we study some fuzzy markov type inequalities and its connections with some fundamental properties of the sugeno integral

a note on defuzzification of type 2 fuzzy intervals abstract in this paper we introduce a new form of defuzzification for a type 2 fuzzy interval over a referential interval a b this new procedure is performed in two steps first calculating the crisp set level average of the type 2 fuzzy interval via aumann integration with respect to 0 1 over the class of all level sets of the corresponding type 1 fuzzy membership grades with x a b and then taking the mid point of the resultant interval for obtaining the defuzzification value furthermore we prove the continuity of this defuzzification method with respect to a suitable metrics over the class of type 2 fuzzy intervals

on the level continuity of fuzzy integrals in this paper we define the level convergence of measurable functions on a fuzzy measure space by using the closure operator in the moore sense we study some of the properties of this convergence and give conditions for the continuity of the fuzzy integral in relation to the level convergence

general minkowski type inequalities for sugeno integrals minkowski type inequalities for the sugeno integral on abstract spaces are studied in a rather general form thus closing the series of papers on the topic dealing with special cases restricted to the pseudo additive operation

pseudo fractional integral inequality of chebyshev type in this paper we give a general version of chebyshev type inequality for pseudo convolution integral on a semiring a b our result is flexible enough to support both pseudo integral and convolution integral e g fractional integral thus closing the series of papers it includes the corresponding results of agahi et al 1 as a special case finally some concluding remarks are drawn and some open problems for further investigations are given

a sugeno integral inequality of carleman knopp type and some refinements abstract in this paper a carleman knopp type inequality for sugeno integrals is studied in a similar form than classical one considering all involved integrals in the sugeno sense with respect to the lebesgue measure also some refinements and examples are presented

the evolution of the minimum degree ordering algorithm over the past fifteen years the implementation of the minimum degree algorithm has received much study and many important enhancements have been made to it this paper describes these various enhancements their historical development and some experiments showing how very effective they are in improving the execution time of the algorithm a shortcoming is also presented that exists in all of the widely used implementations of the algorithm namely that the quality of the ordering provided by the implementations is surprisingly sensitive to the initial ordering for example changing the input ordering can lead to an increase or decrease of as much as a factor of three in the cost of the subsequent numerical factorization this sensitivity is caused by the lack of an effective tie breaking strategy and the authors experiments illustrate the importance of developing such a strategy