Effectiveness of the Even-Type Delayed Mean in Approximation of Conjugate Functions

被引：4
作者：
Krasniqi, Xh. Z. [1 ]
机构：
[1] Univ Prishtina, Prishtina, Kosovo
来源：
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2023年 / 58卷 / 05期
关键词：
degree of approximation; Fourier series; conjugate function; Holder class with weight; modulus of continuity; even-delayed mean; FOURIER-SERIES; TRIGONOMETRIC APPROXIMATION; CONVERGENCE;
D O I：
10.3103/S1068362323050035
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, using the even-type delayed mean of conjugate series, we have obtain the degree of approximation for a conjugate function in the metric of the generalized Hoder class with weight. Involving two moduli of continuity, we have shown that the even-type delayed mean are streamlined to guarantee this degree to be of the Jackson order.
引用
收藏
页码：315 / 329
页数：15
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