On (λ,A)-statistical convergence of order α

Year 2019, Volume: 68 Issue: 2, 2094 - 2103, 01.08.2019

Hacer Şengül , Özlem Koyun

https://doi.org/10.31801/cfsuasmas.512628

Abstract

In the paper [B. de Malafosse and V. Rakočević, Linear Algebra Appl. 420, no. 2-3, (2007), 377--387], authors defined the concept of (λ,A)-statistical convergence. In this paper, the concept of (λ,A)-statistical convergence is generalized to (λ,A)-statistical convergence of order α. Also, we introduce the concept of strong (V,λ,A)-convergence of order α and give some inclusion relations between the concepts of (λ,A)-statistical convergence of order α and strong (V,λ,A)-convergence of order α.

Keywords

λ-statistical convergence, statistical convergence, strong (V lamda A)-convergence

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