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1

Difference sequence spaces defined by Musielak-Orlicz function

Sharma Sunil K., Anuchaivong Patchalai, Sharma Rohit

Journal of Mathematics and Applications

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2021

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Vol. 44

107--117

EN

The purpose of this paper is to introduce sequence spaces [ wzór ]θ. We also examine some topological properties and prove some inclusion relations between these spaces.

2

Orlicz lacunary sequence spaces of l-fractional difference operators

Raj Kuldip, Saini Kavita, Choudhary Anu

Journal of Applied Analysis

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2020

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Vol. 26, nr 2

173--183

EN

Recently, S. K. Mahato and P.D. Srivastava [A class of sequence spaces defined by l-fractional difference operator, preprint (2018), http://arxiv.org/abs/1806.10383] studied l-fractional difference sequence spaces. In this article, we intend to make a new approach to introduce and study some lambda l-fractional convergent, lambda l-fractional null and lambda l-fractional bounded sequences over n-normed spaces. Various algebraic and topological properties of these newly formed sequence spaces have been explored, and some inclusion relations concerning these spaces are also established. Finally, some characterizations of the newly formed sequence spaces are given.

3

Some triple difference rough Cesàro and lacunary statistical sequence spaces

Esi A., Subramanian N.

Journal of Mathematics and Applications

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2018

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Vol. 41

81--93

EN

We generalized the concepts in probability of rough Cesàro and lacunary statistical by introducing the difference operator Δ[αγ] of fractional order, where α is a proper fraction and γ = (γmnk) is any fixed sequence of nonzero real or complex numbers. 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 related with triple difference sequence spaces. The main focus of the present paper is to generalized rough Cesaro and lacunary statistical of triple difference sequence spaces and investigate their topological structures as well as some inclusion concerning the operator Δ[αγ].

4

Some strongly almost summable sequence spaces

Sharma S. K., Esi A.

Journal of Mathematics and Applications

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2017

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Vol. 40

171--183

EN

In the present paper we introduce some strongly almost summable sequence spaces using ideal convergence and Musielak-Orlicz function M = (Mk) in n-normed spaces. We examine some topological properties of the resulting sequence spaces.

5

Some seminormed difference sequence spaces defined by a Musielak-Orlicz function over n-normed spaces

Raj K., Sharma S. K.

Journal of Mathematics and Applications

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2015

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Vol. 38

115--131

EN

In the present paper we introduced some seminormed difference sequence spaces combining lacunary sequences and Musielak-Orlicz function M = (Mk) over n-normed spaces and examine some topological properties and inclusion relations between resulting sequence spaces.

6

Multiplier sequence spaces of fuzzy numbers defined by a Musielak-Orlicz function

Raj K., Gupta A.

Journal of Mathematics and Applications

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2012

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Vol. 35

69--81

EN

In this paper we introduce some multiplier sequence spaces of fuzzy number by using a Musielak-Orlicz function ℳ = (Mk) and multiplier function u = (uk) and prove some inclusion relations between the resulting sequences spaces.

7

An approximation theorem in Musielak-Orlicz-Sobolev spaces

Benkirane A., Douieb J., Ould Mohamedhen Val M.

Commentationes Mathematicae

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2011

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Vol. 51, [Z] 1

109-120

EN

In this paper we prove the uniform boundedness of the operators of convolution in the Musielak-Orlicz spaces and the density of C[...]in the Musielak-Orlicz-Sobolev spaces by assuming a condition of Log-Hölder type of continuity.