An application of a method of summabilityto Fourier series

被引：0

作者：

Krasniq, Xhevat Z. ^{[1
]}

机构：

[1] Univ Prishtina Hasan Prishtina, Fac Educ, Dept Teaching Math, Ave Mother Theresa 5, Prishtine 10000, Kosovo

来源：

NOTE DI MATEMATICA | 2024年 / 44卷 / 01期

关键词：

Fourier series; de la Vall ee Poussin sums; Lipschitz class; modulus of continuity; the best approximation; STATISTICAL SUMMABILITY; APPROXIMATION; CONVERGENCE;

D O I：

10.1285/i15900932v44n1p1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Applying r-repeated de la Vallee Poussin sums, we have proved four theorems which show the upper bound of r-repeated de la Vallee Poussin kernel, their convergence at a point, the deviation between a continuous function and r-repeated de la Vallee Poussin sums of partial sums of its Fourier series, and finally we determine the degree of approximation of functions belonging to ordinary Lipschitz class

引用

页码：1 / 11

页数：12

共 28 条

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