descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2019Publisher:Author(s)Journal:AIP Conference Proceedings, volume 2,091, page 30,041 (issn: 0094-243X,

Authors: Şengül, Hacer; Et, Mikail; Işık, Mahmut;

doi: 10.1063/1.5095126

handle: 20.500.12415/1890

On I−deferred statistical convergence

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Abstract

The idea of I−convergence of real sequences was introduced by Kostyrko et al. [Kostyrko, P., Salat, T. and Wilczynski, W. I−convergence, Real Anal. Exchange 26(2) (2000/2001), 669-686] and also independently by Nuray and Ruckle [Nuray, F. and Ruckle, W. H. Generalized statistical convergence and convergence free spaces. J. Math. Anal. Appl. 245(2) (2000), 513–527]. In this paper we introduce I−deferred statistical convergence and strong I−deferred Cesaro convergence and investigate between their relationship.

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Keywords

Functional analysis, Sequences, Summability, Series

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