On pointwise and uniform statistical convergence of order α for sequences of functions

被引：55

作者：

Cinar, Muhammed ^{[1
]}

Karakas, Murat ^{[2
]}

Et, Mikail ^{[3
]}

机构：

[1] Mus Alparslan Univ, Dept Math, Mus, Turkey

[2] Bitlis Eren Univ, Dept Math, Bitlis, Turkey

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

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

statistical convergence; sequences of functions; Cesaro summability; SUMMABILITY;

D O I：

10.1186/1687-1812-2013-33

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the concepts of pointwise and uniform statistical convergence of order alpha for sequences of real-valued functions. Furthermore, we give the concept of an alpha-statistically Cauchy sequence for sequences of real-valued functions and prove that it is equivalent to pointwise statistical convergence of order alpha for sequences of real-valued functions. Also, some relations between S-alpha(f)-statistical convergence and strong w(p)(beta)(f)-summability are given.

引用

页数：11

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