Quasi-Almost Lacunary Statistical Convergence of Sequences of Sets

Esra Gülle ,Uǧur Ulusu

doi:10.28924/2291-8639-16-2018-222

Abstract

In this study, we defined concepts of Wijsman quasi-almost lacunary convergence, Wijsman quasi-strongly almost lacunary convergence and Wijsman quasi q-strongly almost lacunary convergence. Also we give the concept of Wijsman quasi-almost lacunary statistically convergence. Then, we study relationships among these concepts. Furthermore, we investigate relationship between these concepts and some convergences types given earlier for sequences of sets, too.

Highlights

AND BACKGROUNDSThe concept of statistical convergence was first introduced by Fast [10]
We give the concept of Wijsman quasi-almost lacunary statistically convergence
We investigate relationship between these concepts and some convergences types given earlier for sequences of sets, too

Summary

Introduction

AND BACKGROUNDSThe concept of statistical convergence was first introduced by Fast [10]. A sequence x = (xk) is lacunary statistically convergent to L if for every ε > 0, lim r→∞ hr k ∈ Ir : |xk − L| ≥ ε A sequence {Ak} is Wijsman strongly p-almost lacunary convergent to A if for each x ∈ X and 0 < p < ∞, uniformly in i.

Results

Conclusion