APPROXIMATION OF CONJUGATE DIFFERENTIABLE FUNCTIONS BY THEIR ABEL-POISSON INTEGRALS

被引：11

作者：

Zhyhallo, K. M. ^{[1
]}

Kharkevych, Yu. I. ^{[1
]}

机构：

[1] Volyn Natl Univ, Lutsk, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2009年 / 61卷 / 01期

关键词：

Fourier Series; Trigonometric Polynomial; Sharp Estimate; Equality Sign; Conjugate Function;

D O I：

10.1007/s11253-009-0196-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain the exact values of upper bounds of approximations of classes of periodic conjugate differentiable functions by their Abel-Poisson integrals in uniform and integral metrics.

引用

页码：86 / 98

页数：13

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