Abstract
In this paper we study seminormed double sequence spaces of a four-dimensional matrix and Musielak–Orlicz function over n-normed spaces. We explore some interesting inclusion relations, algebraic and topological properties of these spaces.
Highlights
1 Introduction and preliminaries Generalizations of single sequence spaces are double sequence spaces which were initially given by Bromwich [2]
Hazarika and Esi [14] studied generalized difference paranormed sequence spaces defined over a seminormed sequence space using ideal convergence
The main aim of this paper is to study some classes of seminormed double sequences of a four-dimensional matrix by using a Musielak–Orlicz function
Summary
Introduction and preliminariesGeneralizations of single sequence spaces are double sequence spaces which were initially given by Bromwich [2]. · is an n-norm on X and (Mkl) is a nondecreasing and convex function, by using inequality (1.1), we have sup r,s≥1,σ ∈Pr,s φrs k,l∈σ amnkl Mkl qkl ukl m(αxkl + βykl) , z1, .
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