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

被引：3

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

页码：315 / 329

页数：15

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