KOLMOGOROV TYPE INEQUALITIES FOR HYPERSINGULAR INTEGRALS WITH HOMOGENEOUS CHARACTERISTIC

被引：6

作者：

Babenko, Vladislav F. ^{[1
]}

Churilova, Mariya S. ^{[1
]}

机构：

[1] Dnepropetrovsk Natl Univ, Dept Math Anal, UA-49050 Dnepropetrovsk, Ukraine

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2007年 / 1卷 / 01期

关键词：

Inequality of Kolmogorov type; hypersingular integrals; approximation of operators;

D O I：

10.15352/bjma/1240321556

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New sharp Kolmogorov type inequalities for hypersingular integrals with homogeneous characteristic of multivariate functions from Holder spaces are obtained. Proved inequalities are used to solve the Stechkin's problem on the best approximation of unbounded hypersingular integral operator by bounded ones on functional classes which are defined by a majorant of the modulus of continuity.

引用

页码：66 / 77

页数：12

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