Abstract

In this paper the concept of strongly ( λ )_ p − Cesa ro summability of a sequence of fuzzy numbers and strongly λ − statistically convergent sequences of fuzzy numbers are introduced.

Highlights

  • In the present paper we introduce and examine the concepts of λ− statistical convergence and strongly (λ)p − Cesaro convergence of sequences of fuzzy numbers

  • A sequence X = (Xk) of fuzzy numbers is said to converge to fuzzy number X0 if for every ǫ > 0 there is a positive integer N0 such that d |Xk|1/k, X0 < ǫ for k ≥ N0

  • Definition 2.2 A sequence X = (Xk) of fuzzy numbers is said to be analytic if the set |Xk|1/k : k ∈ N of fuzzy numbers is analytic

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Summary

Introduction

A sequence (xk) is said to be statistically convergent to L if for every ǫ > 0, δ ({k ∈ N : |xk − L| ≥ ǫ}) = 0. Let L (Rn) denote the set of all fuzzy numbers. Let w be set of all sequences of fuzzy numbers.

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