Nikol'skii-Type Inequalities for Trigonometric Polynomials for Lorentz-Zygmund Spaces

被引：1

作者：

Doktorski, Leo R. Ya ^{[1
]}

机构：

[1] Fraunhofer Inst Optron Syst Technol & Image Explo, Dept Object Recognit, D-76275 Ettlingen, Germany

来源：

JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷

关键词：

LIMITING REITERATION; REAL INTERPOLATION; ULYANOV; BESOV;

D O I：

10.1155/2020/6853723

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nikol'skii-type inequalities, that is inequalities between different metrics of trigonometric polynomials on the torus Td for the Lorentz-Zygmund spaces, are obtained. The results of previous paper "Nikol'skii inequalities for Lorentz-Zygmund spaces" are extended. Applications to approximation spaces in Lorentz-Zygmund spaces and to Besov spaces are given.

引用

页数：9