TRIGONOMETRIC AND ORTHOPROJECTION WIDTHS OF CLASSES OF PERIODIC FUNCTIONS OF MANY VARIABLES

被引：10

作者：

Romanyuk, A. S. ^{[1
]}

Romanyuk, V. S. ^{[1
]}

机构：

[1] Ukrainian Natl Acad Sci, Inst Math, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2009年 / 61卷 / 10期

关键词：

Periodic Function; Trigonometric Polynomial; Auxiliary Statement; Minkowski Inequality; Mixed Derivative;

D O I：

10.1007/s11253-010-0300-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain exact order estimates for trigonometric and orthoprojection widths of the Besov classes B(p,theta)(r) and Nikol'skii classes H(p)(r) of periodic functions of many variables in the space L(q) for certain relations between the parameters p and q.

引用

页码：1589 / 1609

页数：21

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