q-Cesaro matrix and q-statistical convergence

被引:39
作者
Aktuglu, Huseyin [1 ]
Bekar, Serife [1 ]
机构
[1] Eastern Mediterranean Univ, Fac Arts & Sci, Dept Math, TR-10 Gazimagusa, Mersin, Turkey
关键词
Cesaro matrices; Cesaro summability; q-integers; Statistical convergence; SUMMABILITY;
D O I
10.1016/j.cam.2010.08.018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is obvious that a q-analog of C-alpha, the Cesaro matrix of order alpha, can be defined in different ways. In this paper we introduce a method to find q-analogs of C-alpha, where alpha is a positive integer. Using this method, we obtain the most natural q-analogs of C-alpha. We also prove that the strength of C-1 (q(k)) does not depend on q, where C-1 (q(k)) is the most natural q-analog of C-1. Finally, we define a density function and q-statistical convergence using C-1 (q(k)). (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:4717 / 4723
页数:7
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