Ideal Convergent Function Sequences in Random 2-Normed Spaces

被引：28

作者：

Savas, Ekrem ^{[1
]}

Gurdal, Mehmet ^{[2
]}

机构：

[1] Istanbul Ticaret Univ, Dept Math, Uskudar Istanbul, Turkey

[2] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey

来源：

FILOMAT | 2016年 / 30卷 / 03期

关键词：

Ideal; filter; I-convergence; random 2-normed space; sequences of functions; LACUNARY STATISTICAL CONVERGENCE; I-CAUCHY SEQUENCES;

D O I：

10.2298/FIL1603557S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper we are concerned with I-convergence of sequences of functions in random 2-normed spaces. Particularly, following the line of recent work of Karakaya et al. [23], we introduce the concepts of ideal uniform convergence and ideal pointwise convergence in the topology induced by random 2-normed spaces, and give some basic properties of these concepts.

引用

页码：557 / 567

页数：11

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