Abstract

In this paper, we defined concept of Wijsman I-Cesaro summability for sequences of sets and investigate the relationships between the concepts of Wijsman strongly I-Cesaro summability and Wijsman statistical I− Cesaro summability by using the concept of a triple sequence spaces.

Highlights

  • The idea of statistical convergence was introduced by Steinhaus and independently by Fast for real or complex sequences

  • Statistical convergence is a generalization of the usual notion of convergence, which parallels the theory of ordinary convergence

  • We introduce the notion of Wijsman rough statistical convergence of triple sequences

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Summary

Introduction

The idea of statistical convergence was introduced by Steinhaus and independently by Fast for real or complex sequences. A triple sequence x = (xmnk) is said to be statistically convergent to l ∈ R3, written as st − limx = l, provided that the set (m, n, k) ∈ N3 : |xmnk − l| ≥ , has natural density zero for every > 0.

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