marcinkiewicz zygmund inequalities and interpolation by spherical harmonics abstract we find necessary density conditions for marcinkiewicz zygmund inequalities and interpolation for spaces of spherical harmonics in s d with respect to the l p norm moreover we prove that there are no complete interpolation families for p 2

a generalization of the carleson lemma and weighted norm inequalities for the maximal functions in the orlicz setting abstract in this note we introduce the notion of carleson sequence for a convex growth function and provide an equivalent characterization that is an extension of the off diagonal carleson embedding lemma we apply this result to obtain sawyer type characterization and two weight norm estimates for some maximal functions between different orlicz spaces

beurling landauʼs density on compact manifolds abstract given a compact riemannian manifold m we consider the subspace of l 2 m generated by the eigenfunctions of the laplacian of eigenvalue less than l 1 this space behaves like a space of polynomials and we have an analogy with the paley wiener spaces we study the interpolating and marcinkiewicz zygmund m z families and provide necessary conditions for sampling and interpolation in terms of the beurling landau densities as an application we prove the equidistribution of the fekete arrays on some compact manifolds

on the a_ infty conditions for general bases we discuss several characterizations of the a infty class of weights in the setting of general bases although they are equivalent for the usual muckenhoupt weights we show that they can give rise to different classes of weights for other bases we also obtain new characterizations for the usual a infty weights

the uncertainty principle on considere l existence et la regularite des solutions d equations aux derivees partielles la construction de solutions fondamentales explicites et les valeurs propres d operateurs de schrodinger

a simple method to compute economic order quantities abstract in this note a simple method by using the arithmetic geometric mean inequality theorem is proposed to computer the global minimum economic order quantities without taking complex differential calculus or using tedious algebraic manipulations in contrast to minner s 2007 a note on how to compute economic order quantity without derivatives by cost comparisons international journal of production economics 105 293 296 wee h m wang w t chung c j 2009 a modified method to computer economic order quantities without derivatives by cost difference comparisons european journal of operational research based on a local cost minimum initially to derive the solution and then proven it s the global minimum the proposed method yields the global minimum cost immediately and explicitly without using the cost comparisons and letting the time horizon to infinity

linear optimization with bipolar max min constraints we consider a generalization of the linear optimization problem with fuzzy relational in equality constraints by allowing for bipolar max min constraints i e constraints in which not only the independent variables but also their negations occur a necessary condition to have a non empty feasible domain is given the feasible domain if not empty is algebraically characterized a simple procedure is described to generate all maximizers of the linear optimization problem considered and is applied to various illustrative example problems

weighted norm inequalities for the continuous square function we prove new weighted norm inequalities for real variable analogues of the lusin area function we apply our results to obtain new i weighted norm inequalities for singular integral operators ii weighted sobolev inequalities iii eigenvalue estimates for degenerate schrodinger operators

a genetic algorithm approach to optimize a multi products epq model with discrete delivery orders and constrained space the economic production quantity epq is one of the most applicable model in production and inventory control environments like other classical production and inventory control models it is derived based upon assumptions that cause limited real world applications continuous and constant rate delivery of orders infinite availability of warehouse spaces and applicability on a single product are some of these assumptions in order to make the epq model more applicable to real world production and inventory control problems in this paper we expand this model by assuming that the orders may be delivered discretely in the form multiple pallets in addition we may have more than one product along with warehouse space limitation under these conditions we formulate the problem as a non linear integer programming model and propose a genetic algorithm to solve it at the end we present a numerical example to demonstrate the application of the proposed methodology

on some sharp spectral inequalities for schrodinger operators on semiaxis in this paper we obtain sharp lieb thirring inequalities for a schrodinger operator on semiaxis with a matrix potential and show how they can be used to other related problems among them are spectral inequalities on star graphs and spectral inequalities for schrodinger operators on half spaces with robin boundary conditions

on the convergence of riesz means on compact manifolds the purpose of this paper is to study the lp mapping properties of the riesz means of eigenfunction expansions associated to elliptic differential operators on compact manifolds in order to be more specific let us first introduce some notation let m be a compact connected c manifold of dimension n 2 and p an elliptic differential operator on m with c00 coefficients we shall assume that p is self adjoint with respect to some positive c00 density dx kept fixed throughout that is pu v u pv where as usual

the weyl correspondence and time frequency analysis describes the weyl correspondence and its properties showing how it gives a window independent definition of time frequency concentration for use in models in signal detection the definition of concentration is justified by showing that it gives reasonable answers in certain intuitive cases the weyl correspondence expresses a linear transformation as a weighted superposition of time frequency shifts of the signal and then authors explain why this is not the same as transforming a signal into the time frequency domain multiplying by a weight in the transform domain and taking the inverse the investigation into time frequency concentration and the weyl correspondence is justified by a new result the authors show that convolving the wigner distribution with a general smoothing function is equivalent to evaluating a weighted sum of spectrograms this is a new interpretation of the process of smoothing the wigner distribution to reduce cross terms it relates smoothing of the wigner distribution to the multiple window technique pioneered by thomson 1982

fuzzy multi item economic production quantity model under space constraint a geometric programming approach in this study we have formulated an economic production quantity epq model with flexibility and reliability consideration of production process and demand dependent unit production cost with fuzzy parameters the model is restricted with available limited storage space constraint the inventory related costs storage spaces and others parameters are taken here as triangular fuzzy numbers the problem is solved by modified geometric programming method finally the model is illustrated by numerical example

what is variable bandwidth we propose a new notion of variable bandwidth that is based on the spectral subspaces of an elliptic operator apf ddx p x ddx f where p 0 is a strictly positive function denote by c ap the orthogonal projection of ap corresponding to the spectrum of ap in the range of this projection is the space of functions of variable bandwidth with spectral set in we will develop the basic theory of these function spaces first we derive nonuniform sampling theorems second we prove necessary density conditions in the style of landau roughly for a spectrum 0 the main results say that in a neighborhood of x a function of variable bandwidth behaves like a band limited function with local bandwidth p x 1 2 although the formulation of the results is deceptively similar to the corresponding results for classical band limited functions the methods of proof are much more involved on the one hand we use the oscillation method from sampling theory and frame theoretic methods on the other hand we need the precise spectral theory of sturm liouville operators and the scattering theory of one dimensional schrodinger operators 2017 wiley periodicals inc

numerical linear algebra and solvability of partial differential equations it was observed long ago that the obstruction to the accurate computation of eigenvalues of large non self adjoint matrices is inherent in the problem the basic idea is that the resolvent of a highly non normal operator can be very large far away from the spectrum this leads to an easily observable fact that algorithms for locating eigenvalues will typically find some false eigenvalues these false eigenvalues also explain one of the most surprising phenomena in linear pdes namely the fact discovered by hans lewy in 1957 in berkeley that one cannot always locally solve the pde p u f almost immediately after that discovery hormander provided an explanation of lewy s example showing that almost all operators with non constanct complex valued coefficients are not locally solvable in modern language that was done by considering the essentially dual problem of existence of non propagating singularities the purpose of this article is to review this work in the context of almost eigenvalues and from the point of view of semi classical analysis

a fuzzy epq model with flexibility and reliability consideration and demand dependent unit production cost under a space constraint a fuzzy geometric programming approach in this paper an economic production quantity epq model is developed with flexibility and reliability consideration of production process and demand dependent unit production cost the model has involved one storage space constraint it is formulated in fuzzy environment introducing fuzziness in objective and constraint goals coefficient and indexes of objective function and constraint the model is solved by fuzzy geometric programming technique the solution procedure is illustrated by numerical example

characterization of two weighted inequalities for multilinear fractional maximal operator abstract in this paper we restudied the two weight problem of multilinear fractional maximal operator m first we gave a characterization of two weight inequalities for m related to a multilinear analogue of sawyer s two weight condition s p q which essentially improved and extended some known results before this was done mainly by using the technique of the well known atomic decomposition of tent space then we obtained the strong boundedness of m associated with multiple weight a p q class which removed the power bump condition assumed in the known results before finally a new two weight b p q condition was introduced and the two weight inequality of m with b p q condition was established

mixed a1 a bounds for fractional integrals abstract for a fractional integral operator i we show that i f l q w q c w a q 1 p w a 1 q 1 q f l p w p where w a q sup q 1 w q q q m q w q d x is wilson a q s constant which is smaller than the a 1 q constant we also prove a weak type 1 1 bound for a couple of weights of the form w m w assuming that w a

hardy space estimates for limited ranges of muckenhoupt weights abstract in this article we give a full necessary and sufficient set of conditions for a calderon zygmund operator to be bounded on weighted hardy spaces h w p where w is an muckenhoupt weight and 0 p in fact this result is new even when 1 p since it allows for h w p boundedness of an operator when 1 p q and w a q where it is possible that h w p l w p these singular integral results are achieved by proving littlewood paley stein square function type estimates from h w p into l w p for 0 p and a muckenhoupt weight w which are interesting results in their own right new techniques involving a weight invariant spaces are also used to prove the weighted estimates for calderon zygmund operators more precisely we prove the following bmo type weight invariance properties for a fixed s 0 the weighted sobolev bmo spaces i s b m o w coincide for all w a the weighted p type triebel lizorkin spaces f w s 2 coincide for all w a and these two classes of spaces coincide with each other as well all of which have comparable norms up to constants depending on an a p character of the weight w a

a constrained multi products epq inventory model with discrete delivery order and lot size abstract this paper proposes an alternative heuristic algorithm for a multi product economic production quantity epq vendor buyer integrated model with just in time jit philosophy and a budget constraint this type of problem is usually solved by a mixed integer non linear problem minlp which is complex and computationally expensive the proposed heuristic algorithm involves less computation and therefore it is less expensive than the previously published algorithms furthermore the heuristic algorithm is simpler as it derives the integer values for all discrete variables in a straightforward manner through empirical experimentation it is demonstrated that the heuristic algorithm provides solutions closer to the lower bound in a very short time

weighted rearrangement inequalities for local sharp maximal functions several weighted rearrangement inequalities for uncentered and centered local sharp functions are proved these results are applied to obtain new weighted weak type and strong type estimates for singular integrals a self improving property of sharp function inequalities is established

revisiting lot sizing for an inventory system with product recovery this note investigates the study by teunter 2004 1 on lot sizing for inventory systems with product recovery where lot sizing formulae for two recovery policies 1 r and p 1 are derived instead of applying the classical optimization technique we develop an integrated solution procedure for each of the two policies using algebraic approaches numerical analysis show that our examples result in a lower total cost for both policies

a sparse approach to mixed weak type inequalities in this paper we provide some quantitative mixed weak type estimates assuming conditions that imply that uv in a infty for calderon zygmund operators rough singular integrals and commutators the main novelty of this paper lies in the fact that we rely upon sparse domination results pushing an approach to endpoint estimates that was introduced in domingo salazar et al bull lond math soc 48 1 63 73 2016 and extended in lerner et al adv math 319 153 181 2017 and li et al j geom anal 2018

multiproduct single machine production system with stochastic scrapped production rate partial backordering and service level constraint in this paper a multiproduct single machine production system under economic production quantity epq model is studied in which the existence of only one machine causes a limited production capacity for the common cycle length of all products the production defective rates are random variables shortages are allowed and take a combination of backorder and lost sale and there is a service rate constraint for the company the aim of this research is to determine the optimal production quantity the allowable shortage level and the period length of each product such that the expected total cost including holding shortage production setup and defective items costs is minimized the mathematical model of the problem is derived for which the objective function is proved to be convex then a derivative approach is utilized to obtain the optimal solution finally two numerical examples in each of which a sensitivity analysis is performed on the model parameters are provided to illustrate the practical usage of the proposed methodology

marcinkiewicz zygmund inequalities and interpolation by spherical polynomials with respect to doubling weights abstract we find necessary density conditions for marcinkiewicz zygmund inequalities and interpolation for spaces of spherical polynomials in the weighted l p 0 p space with respect to a doubling weight moreover we show that these conditions are sharp

the l log l e endpoint estimate for maximal singular integral operators abstract we prove in this paper the following estimate for the maximal operator t associated to the singular integral operator t t f l 1 w 1 r n f x m l log l w x d x w 0 0 1 this follows from the sharp l p estimate t f l p w p 1 1 p f l p m l log l p 1 w 1 p w 0 0 1 as a consequence we deduce that t f l 1 w w a 1 log e w a r n f w d x extending the endpoint results obtained in 23 and 15 to maximal singular integrals another consequence is a quantitative two weight bump estimate

multi objective fuzzy inventory model with three constraints a geometric programming approach a multi item multi objective inventory model with shortages and demand dependent unit cost has been formulated along with storage space number of orders and production cost restrictions in most of the real world situations the cost parameters the objective functions and constraints of the decision makers are imprecise in nature hence the cost parameters the objective functions and constraints are imposed here in fuzzy environment this model has been solved by geometric programming method the results for the model without shortages are obtained as a particular case the sensitivity analysis has been discussed for the change of the cost parameters the models are illustrated with numerical examples

sampling of real multivariate polynomials and pluripotential theory we consider the problem of stable sampling of multivariate real polynomials of large degree in a general framework where the polynomials are defined on an affine real algebraic variety m equipped with a weighted measure in particular this framework contains the well known setting of trigonometric polynomials when m is a torus equipped with its invariant measure where the limit of large degree corresponds to a high frequency limit as well as the classical setting of one variable orthogonal algebraic polynomials when m is the real line equipped with a suitable measure where the sampling nodes can be seen as generalizations of the zeros of the corresponding orthogonal polynomials it is shown that a necessary condition for sampling in the general setting is that the asymptotic density of the sampling points is greater than the density of the corresponding weighted equilibrium measure of m as defined in pluripotential theory this result thus generalizes the well known landau type results for sampling on the torus where the corresponding critical density corresponds to the nyqvist rate as well as the classical result saying that the zeros of orthogonal polynomials become equidistributed with respect to the logarithmic equilibrium measure as the degree tends to infinity

beurling landau densities of weighted fekete sets and correlation kernel estimates let q be a suitable real function on c an n fekete set corresponding to q is a subset z n vertical bar z nn of c which maximizes the expression pi n i infinity in this note we prove that fekete sets are in a sense maximally spread out with respect to the equilibrium measure in general our results apply only to a part of the fekete set which is at a certain distance away from the boundary of the droplet however for the potential q vertical bar z vertical bar 2 we obtain results which hold globally and we conjecture that such global results are true for a wide range of potentials c 2012 elsevier inc all rights reserved less

a modified method to compute economic order quantities without derivatives by cost difference comparisons this note presents a modified method to compute economic order quantities without derivatives by cost difference comparisons extensions to allow backorders are done for the eoq epq models in contrast to previous literatures limiting values on a finite planning horizon are used rather than algebraic manipulations for the cost function comparisons

strictly pseudoconvex domains in c n the theory which we have developed so far will be expanded in two ways 1 in this chapter we shall use the cauchy fantappie calculus to transform the bochner martinelli kernel into a kernel adapted to strictly pseudoconvex domains in n and prove a number of finiteness and vanishing theorems for these domains 2 in the next chapter we shall pass from n to arbitrary hermitian manifolds and establish the analogue of the bmk formula in that context obtaining along the way the hodge decomposition theorem on compact manifolds both lines of thought will merge in the subsequent chapters and lead to a solution of the levi problem and finiteness theorems for strictly pseudoconvex manifolds as well as to a solution of the overline partial neumann problem to be formulated later

logical reformulation of quantum mechanics i foundations the basic rules of quantum mechanics are reformulated they deal primarily with individual systems and do not assume that every ket may represent a physical state the customary kinematic and dynamic rules then allow to construct consistent boolean logics describing the history of a system following essentially griffiths proposal logical implication is defined within these logics the multiplicity of which reflects the complementary principle only one interpretative rule of quantum mechanics is necessary in such a framework it states that these logics providebona fide foundations for the description of a quantum system and for reasoning about it one attempts to build up classical physics including classical logic on these quantum foundations the resulting theory of measurement needs not to statea priori that the eigenvalues of an observable have to be the results of individual measurements nor to assume wave packet reduction both these properties can be obtained as consequences of the basic rules one also needs not to postulate that every observable is measurable even in principle a proposition calculus is obtained allowing in principle the replacement of the discussion of problems concerned with the practical interpretation of experiments by due calculations

perfect dyadic operators weighted t 1 theorem and two weight estimates abstract perfect dyadic operators were first introduced in 1 where a local t b theorem was proved for such operators in 3 it was shown that for every singular integral operator t with locally bounded kernel on r n r n there exists a perfect dyadic operator t such that t t is bounded on l p d x for all 1 p in this paper we show a decomposition of perfect dyadic operators on real line into four well known operators two selfadjoint operators paraproduct and its adjoint based on this decomposition we prove a sharp weighted version of the t 1 theorem for such operators which implies a 2 conjecture for such operators with constant which only depends on t 1 bmo d t 1 bmo d and the constant in testing conditions for t moreover the constant depends on these parameters at most linearly in this paper we also obtain sufficient conditions for the two weight boundedness for a perfect dyadic operator and simplify these conditions under additional assumptions that weights are in the muckenhoupt class a d

sharp reverse holder property for a weights on spaces of homogeneous type abstract in this article we present a new proof of a sharp reverse holder inequality for a weights then we derive two applications a precise open property of muckenhoupt classes and as a consequence of this last result we obtain a simple proof of a sharp weighted bound for the hardy littlewood maximal function involving a constants m l p w c 1 p 1 w a p a 1 p where 1 p w 1 1 p and c is a dimensional constant our approach allows us to extend the result to the context of spaces of homogeneous type and prove a weak reverse holder inequality which is still sufficient to prove the open property for a p classes and the l p boundedness of the maximal function in this latter case the constant c appearing in the norm inequality for the maximal function depends only on the doubling constant of the measure and the geometric constant of the quasimetric

on some sharp weighted norm inequalities abstract given a weight we consider the space ml p which coincides with l p when a p sharp weighted norm inequalities on ml p for the calderon zygmund and littlewood paley operators are obtained in terms of the a p characteristic of for any 1 p

an easy method to derive eoq and epq inventory models with backorders recently a cost minimization method to determine the lot size for the eoq epq models with backorders was published this method is based on the well known arithmetic geometric mean inequality although the cost minimization method is correct and interesting it does not focus on deriving the backorders level this paper proposes another simple approach the proposed method finds both the lot size and the backorders level

the economic lot size of the integrated vendor buyer inventory system derived without derivatives a simple derivation abstract in this paper we first complement an inappropriate mathematical error on the total cost in two previous published research papers in inventory field then an arithmetic geometric inequality method is proposed not only to simplify the algebraic method of completing prefect squares but also to complement their shortcomings in addition we also provide a closed form optimal solution to the integrated vendor buyer inventory system without using complex derivatives finally the proposed method seems to be easy to understand and simple to apply by individuals who are not familiar with differential calculus

the expected value of a fuzzy number abstract the notions of expected interval and expected value of fuzzy number are introduced the expected interval is defined as the expected value of an interval random set generated by the fuzzy number and the expected value of this number is defined as the centre of the expected interval the linearity of the expected interval is studied