Ul'yanov and Nikol'skii-type inequalities

被引：64

作者：

Ditzian, Z

Tikhonov, S

机构：

[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

[2] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119992, Russia

[3] Ctr Recerca Matemat, E-08193 Barcelona, Spain

来源：

JOURNAL OF APPROXIMATION THEORY | 2005年 / 133卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

moduli of smoothness; best approximation; Lp spaces; realization;

D O I：

10.1016/j.jat.2004.12.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Ul'yanov-type inequalities are extended to include many measures of smoothness. Many of the results are valid for L-p, p > 0. Observations and extensions for needed Nikolskii-type inequalities are given. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：100 / 133

页数：34

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