APPROXIMATION BY A SPECIAL DE LA VALL <acute accent>EE POUSSIN TYPE MATRIX TRANSFORM MEAN OF WALSH-FOURIER SERIES

被引：2
|
作者：
Blahota, Istvan [1 ]
机构：
[1] Univ Nyiregyhaza, Inst Math & Comp Sci, Sostoi St 31-B, H-4400 Nyiregyhaza, Hungary
来源：
MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 03期
关键词：
character system; Fourier series; Walsh-Paley system; rate of approximation; modulus of continuity; matrix transform; NORLUND MEANS; CESARO MEANS; NEGATIVE ORDER;
D O I：
10.18514/MMN.2023.4249
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider norm convergence for a special matrix-based de la Valle ' e Poussin-like mean of Fourier series for the Walsh system. We estimate the difference between the named mean above and the corresponding function in norm, and the upper estimation is given by the modulus of continuity of the function.
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页码：1213 / 1221
页数：9
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