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双序列的粗糙 - 缺项统计收敛

Rough -lacunary statistical convergence of double sequences.

作者信息

Kişi Ömer, Dündar Erdinç

机构信息

1Department of Mathematics, Faculty of Science, Bartın University, Bartın, Turkey.

2Department of Mathematics, Faculty of Science, Afyon Kocatepe University, AfyonKarahisar, Turkey.

出版信息

J Inequal Appl. 2018;2018(1):230. doi: 10.1186/s13660-018-1831-7. Epub 2018 Sep 10.

Abstract

In this paper, we introduce and study the notion of rough -lacunary statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough -lacunary statistical limit set of a double sequence and discuss some properties of this set.

摘要

在本文中,我们引入并研究赋范线性空间中双序列的粗糙 - 缺项统计收敛的概念。我们还引入双序列的粗糙 - 缺项统计极限集的概念,并讨论该集合的一些性质。

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