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Musielak-Orlicz Functions

Some Lacunary Sequence Spaces of  Invariant Means Defined by Musielak Orlicz Functions on 2 Norm Space

Some Lacunary Sequence Spaces of Invariant Means Defined by Musielak Orlicz Functions on 2 Norm Space

... The purpose of this paper is to introduce and study some sequence spaces which are defined by combining the concepts of sequences of Musielak-Orlicz functions, invariant means and lacunary ...

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Nonlinear parabolic problem with lower order terms in Musielak-Orlicz spaces

Nonlinear parabolic problem with lower order terms in Musielak-Orlicz spaces

... mogeneous Musielak-Orlicz space, the term Φ(x, t, u) is a Crath´eodory function assumed to be continuous on u and satisfy only the growth con- dition Φ(x, t, u) ≤ c(x, t)M − 1 M(x, α 0 u), prescribed by ...

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Anisotropic interpolation theorems of Musielak Orlicz type

Anisotropic interpolation theorems of Musielak Orlicz type

... and Orlicz [], which is defined via an Orlicz ...a Musielak- Orlicz space is defined via a Musielak-Orlicz function (see, for example, []) and a Musielak-Orlicz ...

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Differential equations of divergence form in separable Musielak-Orlicz-Sobolev spaces

Differential equations of divergence form in separable Musielak-Orlicz-Sobolev spaces

... This paper is organized as follows: Section  contains some preliminaries and some technical lemmas which will be needed. We establish some basic properties for Musielak- Orlicz functions and some ...

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On -Orlicz Theory

On -Orlicz Theory

... and Orlicz introduced the Orlicz spaces in 1931 as a generalization of the classical Lebesgue spaces, where the function is replaced by a more general convex function ...-convex functions were ...

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Orlicz Mixed Geominimal Surface Area

Orlicz Mixed Geominimal Surface Area

... of Orlicz geominimal surface ...of Orlicz geominimal surface ...of Orlicz geominimal surface area by the Orlicz-Petty body (see Section ...

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Some generalized difference sequence spaces of invariant means
defined by Orlicz functions

Some generalized difference sequence spaces of invariant means defined by Orlicz functions

... which are defined by combining the concepts of Orlicz functions, invariant means, and lacunary convergence. We also study some inclusion relations and linearity properties of the above-mentioned spaces. ...

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Algebraic duals of some sets of difference sequences defined by Orlicz functions

Algebraic duals of some sets of difference sequences defined by Orlicz functions

... Abstract In this paper, we first give a description of some sets of sequences generated by difference operators and defined by Orlicz functions.. 1 Introduction Let w denote the space of al[r] ...

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New classes of A-I2 convergence double sequence spaces of fuzzy numbers defined by sequence of Orlicz functions

New classes of A-I2 convergence double sequence spaces of fuzzy numbers defined by sequence of Orlicz functions

... and Rutitsky, Y.B.: Convex functions and Orlicz functions, Groningen, Netherlands ; 1961 [13] Savas E: A note on sequence of fuzzy numbers, Inf.. [15] Savas E : On some A-I convergent [r] ...

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Some Result Zweier I-Convergent triple sequence spaces defined by the double Orlicz functions

Some Result Zweier I-Convergent triple sequence spaces defined by the double Orlicz functions

... .The Orlicz function has been founded by Prof. Wlayshaw Roman Orlicz from Poland and carried his name, so he was constructed the Orlicz space ...double Orlicz function is a function [ [ [ [ ...

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Parabolic Equations in Musielak-Orlicz-Sobolev Spaces

Parabolic Equations in Musielak-Orlicz-Sobolev Spaces

... inhomogeneous Musielak-Orlicz-Sobolev spaces (see Theorem 1), as it is done in the setting of Orlicz-Sobolev spaces (see [12]), which allows us, on the one hand, to regularize a test function by ...

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On some AI convergent difference sequence spaces of fuzzy numbers defined by the sequence of Orlicz functions

On some AI convergent difference sequence spaces of fuzzy numbers defined by the sequence of Orlicz functions

... In this paper, we study some new sequence spaces of fuzzy numbers using I-convergence, the sequence of Orlicz functions, an infinite matrix, and the difference operator. We es- tablish the inclusion relation ...

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O g-Statistical Convergence in Paranormed Spaces

O g-Statistical Convergence in Paranormed Spaces

... Let M = (M k ) be a sequence of Orlicz functions, (X , ||· , . . . , ·||) is a n-normed space and p = (p k ) be a bounded sequence of positive real numbers. By S(n − X ) we denote the space of all sequences ...

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σ-convergent difference sequence spaces defined by Orlicz function

σ-convergent difference sequence spaces defined by Orlicz function

... On certain class of sequence spaces of invariant mean defined by Orlicz function... DIFFERENCE SEQUENCE SPACES OF INVARIANT MEAN DEFINED BY ORLICZ.[r] ...

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Inclusions between weighted Orlicz spaces

Inclusions between weighted Orlicz spaces

... weighted Orlicz norm which depends on the usual Orlicz norm and we show that the inclusion map between the weighted Orlicz spaces is ...weighted Orlicz spaces can be comparable with respect to ...

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General Convexity of Some Functionals in Seminormed Spaces and Seminormed Algebras

General Convexity of Some Functionals in Seminormed Spaces and Seminormed Algebras

... Inequalities have been used in almost all the branches of mathematics. It is an important tool in the study of convex functions in seminormed space and seminormed algebras. Recently some works have been done by ...

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On Kothe-Toeplitz and Null Duals of Some Difference Sequence Spaces Defined by Orlicz Functions

On Kothe-Toeplitz and Null Duals of Some Difference Sequence Spaces Defined by Orlicz Functions

... Key Words and Phrases: Difference sequence spaces, Orlicz function, Köthe-Toeplitz dual,.. Null dual.[r] ...

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Double sequence spaces over n normed spaces defined by a sequence of Orlicz functions

Double sequence spaces over n normed spaces defined by a sequence of Orlicz functions

... Nextly, Mursaleen [] and Mursaleen and Savas [] have defined the almost regularity and almost strong regularity of matrices for double sequences and applied these matrices to establish[r] ...

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On refined Hardy Knopp type inequalities in Orlicz spaces and some related results

On refined Hardy Knopp type inequalities in Orlicz spaces and some related results

... convex functions such as a power function, an exponential function, and an N -function =  x φ(t) dt with a continuous function φ such that φ(t) t is non-decreasing or φ(t) is superadditive on [, ∞), since the ...

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Generalized Rough Cesaro and Lacunary Statistical Triple Difference Sequence Spaces in Probability of Fractional Order Defined by Musielak-Orlicz Function

Generalized Rough Cesaro and Lacunary Statistical Triple Difference Sequence Spaces in Probability of Fractional Order Defined by Musielak-Orlicz Function

... We study some properties of this operator involving lacunary sequence θ and arbitrary sequence p = (prst) of strictly positive real numbers and investigate the topological structures of [r] ...

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