Lacunary statistical and lacunary strongly convergence of generalized difference sequences of fuzzy numbers

被引：35

作者：

Altin, Y. ^{[1
]}

Et, M. ^{[1
]}

Colak, R. ^{[1
]}

机构：

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 52卷 / 6-7期

关键词：

fuzzy numbers; statistical convergence; lacunary sequences; difference sequences; p-Cesaro convergence;

D O I：

10.1016/j.camwa.2006.03.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to introduce the concepts of lacunary statistical convergence and lacunary strongly convergence of generalized difference sequences of fuzzy numbers. We give some relations related to these concepts. We show that lacunary Delta(m)-statistical convergence and lacunary strongly Delta(m)((p))-convergence are equivalent for Delta(m)-bounded sequences of fuzzy numbers. We also introduce the concept of lacunary Delta(m)-statistically Cauchy sequence and show that it is equivalent to the lacunary Delta(m)-statistical convergence. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1011 / 1020

页数：10

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