On Best Polynomial Approximations in L2

被引：0
作者：
S. B. Vakarchuk
机构：
[1] Customs Academy of the Ukraine,
来源：
Mathematical Notes | 2001年 / 70卷
关键词：
best polynomial approximation; exact constants in Jackson-type inequalities; space of 2π-periodic measurable square-integrable functions; modulus of smoothness of ; th order;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For the τ-moduli of smoothness of mth order, we calculate exact constants in Jackson-type inequalities. We also obtain the exact values of the n-widths of classes of functions whose rth derivatives are characterized by τ-moduli of smoothness majorized by functions satisfying certain constraints. We present an example of the majorant for which all the stated requirements are satisfied.
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页码：300 / 310
页数：10
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[34]   On the Best Approximation of Functions Analytic in the Disk in the Weighted Bergman Space\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathcal{B}}_{{2,\mu }}}$$\end{document} [J].
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