Uniform Continuity of Generalized Rational Approximations

被引：0

作者：

K. S. Ryutin

机构：

[1] M. V. Lomonosov Moscow State University,

来源：

Mathematical Notes | 2002年 / 71卷

关键词：

generalized rational approximation; uniformly continuous ; -selection; Lipschitzian selection; Banach space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, it is shown that there are no uniformly continuous multiplicative \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\varepsilon $$ \end{document}-selections from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$C[0;1]$$ \end{document} on the set of generalized rational fractions of sufficiently general form for small \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\varepsilon $$ \end{document}.

引用

页码：236 / 244

页数：8

共 5 条

[1]

Konyagin S. V.(1988)On the continuity of operators of generalized rational approximation Mat. Zametki 44 404-131

[2]

Tsar′kov I. G.(1990)The properties of sets possessing a continuous selection from the operator P Mat. Zametki 48 122-28

[3]

Al′brekht P. V.(1994)The orders of the moduli of continuity of operators of almost best approximation Mat. Sb. 185 3-53

[4]

Marinov A. V.(1994)Estimates of the stability of continuous selection for the metric near-projection Mat. Zametki 55 47-1220

[5]

Ryutin K. S.(2000)The Lipschitz property of retractions and the operator of generalized rational approximation Fund. Prikl. Mat. 6 1205-undefined

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