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On Fejer and Bochner-Riesz Means
被引：0
作者：
Z. Ditzian
机构：
[1] Department of Mathematical and Statistical Sciences University of Alberta Edmonton,
[2] Alberta T6G 2G1,undefined
来源：
Journal of Fourier Analysis and Applications
|
2005年
/
11卷
关键词：
Differential Equation;
Partial Differential Equation;
Fourier Analysis;
Converse Inequality;
Strong Converse;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For the Fejer means on \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
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\usepackage{mathrsfs}
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\setlength{\oddsidemargin}{-69pt}
\begin{document}$L_p(R), 1\le p\le\infty$\end{document} an equivalence between the rate of its convergence and an appropriate
K-functional is established. For the Bochner-Riesz means on \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$L_p(R^d), 1\le p\le\infty, d=1,2,\dots$\end{document} an equivalence between the rate of convergence and the corresponding K-functional is obtained. The results are of the form of strong converse inequality of type A.
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页码：489 / 496
页数：7
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