Properties of some q-Hausdorff matrices

被引:15
作者
Akgun, F. Aydin [1 ]
Rhoades, B. E. [2 ]
机构
[1] Yildiz Tekn Univ, Dept Engn Math, TR-34210 Istanbul, Turkey
[2] Indiana Univ, Dept Math, Bloomington, IN 47405 USA
关键词
q-Cesaro matrices; q-Holder matrices; q-Hausdorff matrices; SUMMATION METHODS; MOMENT SERIES; EQUIVALENCE; SUMMABILITY;
D O I
10.1016/j.amc.2013.01.016
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we show that the C-q matrices, the q-Hausdorff analogs of the Cesaro matrix of order 1, are all equivalent to convergence, and that the same is true of the q-Holder matrices. We also show that the C-q matrices of order alpha, for each each positive alpha, are regular. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:7392 / 7397
页数:6
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