Abstract

The concept of statistical convergence was introduced by Stinhauss [1] in 1951. In this paper, we study con- vergence of double sequence spaces in 2-normed spaces and obtained a criteria for double sequences in 2-normed spaces to be statistically Cauchy sequence in 2-normed spaces.

Highlights

  • The concept of statistical convergence was introduced by Stinhauss [1] in 1951

  • We study convergence of double sequence spaces in 2-normed spaces and obtained a criteria for double sequences in 2normed spaces to be statistically Cauchy sequence in 2-normed spaces

  • In order to extend the notion of convergence of sequences, statistical convergence was introduced by Fast [2] and Schoenberg [3] independently

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Summary

Introduction

In order to extend the notion of convergence of sequences, statistical convergence was introduced by Fast [2] and Schoenberg [3] independently. Is called a 2-normed space (see [9]). A real number sequence x = x j is statistically convergent to L provided that for every > 0 the set P for all n except a set of natural density zero, we say that xj satisfies some property P for “almost all n”.

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