Open AccessOn I-deferred statistical convergence of order α
Author(s) -
Hacer Şengül,
Mikail Et,
Mesut Işık
Publication year - 2019
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/fil1909833s
Subject(s) - mathematics , convergence tests , convergence (economics) , normal convergence , modes of convergence (annotated index) , compact convergence , order (exchange) , weak convergence , rate of convergence , discrete mathematics , computer science , topological space , topological vector space , computer network , channel (broadcasting) , computer security , finance , isolated point , economics , asset (computer security) , economic growth
The idea of I-convergence of real sequences was introduced by Kostyrko et al. [Kostyrko, P., Sal?t, T. and Wilczy?ski, 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 of order ? and strong I-deferred Ces?ro convergence of order ? and investigated between their relationship.