On I-lacunary statistical convergence of order α of sequences of sets | Zendy

Hacer Şengül | Zendy; Mikâil Et | Zendy

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On I-lacunary statistical convergence of order α of sequences of sets

Author(s) -

Hacer Şengül,

Mikâil Et

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1708403s

Subject(s) - lacunary function , mathematics , convergence (economics) , modes of convergence (annotated index) , normal convergence , order (exchange) , convergence tests , weak convergence , discrete mathematics , combinatorics , rate of convergence , topological space , computer science , finance , isolated point , economics , economic growth , topological vector space , computer network , channel (broadcasting) , computer security , asset (computer security)

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 the concepts of Wijsman I-lacunary statistical convergence of order alpha and Wijsman strongly I-lacunary statistical convergence of order alpha, and investigated between their relationship.

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