Estimates of the best approximations of periodic functions by trigonometric polynomials in terms of averaged differences and the multidimensional Jackson's theorem

被引：6

作者：

Pustovoitov, NN ^{[1
]}

机构：

[1] Moscow State Acad Automobile & Tractor Construct, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 1997年 / 188卷 / 9-10期

关键词：

D O I：

10.1070/SM1997v188n10ABEH000265

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the first section the best approximations of periodic functions of one real variable by trigonometric polynomials are studied. Estimates of these approximations in terms of averaged differences are obtained. A multidimensional generalization of these estimates is presented in the second section. As a consequence, the multidimensional Jackson's theorem is proved.

引用

页码：1507 / 1520

页数：14