Abstract

In the present paper, we introduce new sequence spaces by using Musielak-Orlicz function and a generalized -difference operator on p–metric space. Some topological properties and inclusion relations are also examined.

Highlights

  • Throughout w, χ and L2 denote the classes x of all, gai and analytic scalar valued single sequences, respectively

  • The growing interest in this field is strongly stimulated by the treatment of recent problems in elasticity, fluid dynamics, calculus of variations, and differential equations

  • Some initial works on double sequence spaces is found in Bromwich [1]

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Summary

Introduction

Throughout w, χ and L2 denote the classes x of all, gai and analytic scalar valued single sequences, respectively. Let (xmn) be a double sequence of real or complex numbers. M,n=1 mn give one space is said to be convergent if and only if the double sequence (Smn) is convergent, where: The vector space of all double analytic sequences are usually denoted by L2.

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