A SPECIAL MODULUS OF CONTINUITY AND THE K-FUNCTIONAL

被引：0

作者：

Dolmatova, Nadezhda ^{[1
]}

机构：

[1] Univ Wroclaw, Inst Math, Pl Grunwaldzki 2-4, PL-50384 Wroclaw, Poland

来源：

ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 05期

关键词：

modulus of continuity; K-functional; Jackson's theorem; CONSTANT;

D O I：

10.1016/S0252-9602(16)30088-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the questions connected with the approximation of a real continuous 1-periodic functions and give a new proof of the equivalence of the special Boman-Shapiro modulus of continuity with Peetre's K-functional. We also prove Jackson's inequality for the approximation by trigonometric polynomials.

引用

页码：1531 / 1540

页数：10

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