Some results on lacunary statistical convergence of order α in credibility space

被引：3

作者：

Savas, Ekrem ^{[1
]}

Kisi, Omer ^{[2
]}

Gurdal, Mehmet ^{[3
]}

机构：

[1] Usak Univ, Dept Math, Usak, Turkiye

[2] Bartin Univ, Dept Math, Bartin, Turkiye

[3] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkiye

来源：

JOURNAL OF ANALYSIS | 2023年 / 31卷 / 04期

关键词：

Statistical convergence; Lacunary sequence; Cesaro-type summability; Credibility theory; Fuzzy variables;

D O I：

10.1007/s41478-023-00618-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this manuscript, we introduce the concepts of strong N-theta(p)-summability of order alpha and lacunary statistical convergence of order alpha for fuzzy variables in credibility space. We examine important connections between these ideas. The circumstances of lacunary statistical convergence almost surely (a.s.) of order alpha, lacunary statistical convergence in credibility of order alpha, lacunary statistical convergence in mean of order alpha, lacunary statistical convergence in distribution of order alpha of fuzzy variable sequences are also investigated. We have established connections between these ideas.

引用

页码：2835 / 2859

页数：25

共 26 条

[1] Inequalities and Convergence Concepts of Fuzzy and Rough Variables [J].