A NOTE ON COSINE SERIES WITH COEFFICIENTS OF GENERALIZED BOUNDED VARIATION

被引:1
|
作者
Ghodadra, Bhikha Lila [1 ]
Fulop, Vanda [2 ]
机构
[1] Maharaja Sayajirao Univ Baroda, Fac Sci, Dept Math, Vadodara 390002, Gujarat, India
[2] Univ Szeged, Interdisciplinary Excellence Ctr, Bolyai Inst, Aradi Vertanuk Tere 1, H-6720 Szeged, Hungary
关键词
Cosine series; Tauberian theorem; Norlund matrix; Hausdorff matrix;
D O I
10.1515/ms-2017-0381
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note, we obtain a Tauberian theorem for a class of regular lower triangular matrices operating on cosine series with coefficients tending to zero. As corollaries we obtain Tauberian theorems for weighted mean, Norlund, and Hausdorff matrices. (C) 2020 Mathematical Institute Slovak Academy of Sciences
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页码:681 / 688
页数:8
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