On I - Lacunary Statistical Convergence of Order α of Sequences of Sets

被引：47

作者：

Sengul, Hacer ^{[1
]}

Et, Mikail ^{[2
]}

机构：

[1] Siirt Univ, Dept Math, TR-56100 Siirt, Turkey

[2] Firat Univ, Dept Math, TR-23119 Elazig, Turkey

来源：

FILOMAT | 2017年 / 31卷 / 08期

关键词：

I-convergence; Wi[!text type='js']js[!/text]man convergence; lacunary sequence; DIFFERENCE-SEQUENCES; SPACES;

D O I：

10.2298/FIL1708403S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2403 / 2412

页数：10

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