Approximation by rational operators in Lp spaces

被引：7
|
作者：
Yu, Dansheng [1 ,2 ]
Zhou, Songping [3 ]
机构：
[1] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China
[2] St Francis Xavier Univ, Dept Math Stat & Comp Sci, Antigonish, NS B2G 2W5, Canada
[3] Zhejiang Sci Tech Univ, Inst Math, Hangzhou 310018, Zhejiang, Peoples R China
来源：
MATHEMATISCHE NACHRICHTEN | 2009年 / 282卷 / 11期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Rational operators; approximation rates; L-p spaces; SHEPARD OPERATORS; SATURATION; THEOREMS;
D O I：
10.1002/mana.200610812
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present paper introduces a kind of Kantorovich type Shepard operators. Complete results including direct and converse results, equivalence results are established. As Della Vecchia and Mastroianni ([4], [7]) did, our results involve a weighted modulus of smoothness related to step-functions phi(x) vanishing algebraically at the endpoints +/-1. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA. Weinheim
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页码：1600 / 1618
页数：19
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