On the generalized Favard-Kantorovich and Favard-Durrmeyer operators in exponential function spaces

被引：4

作者：

Nowak, Grzegorz ^{[1
]}

Sikorska-Nowak, Aneta ^{[2
]}

机构：

[1] Higher Sch Mkt & Management, PL-64100 Leszno, Poland

[2] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2007年 / 2007卷 / 1期

关键词：

D O I：

10.1155/2007/75142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Kantorovich- and the Durrmeyer-type modifications of the generalized Favard operators and we prove an inverse approximation theorem for functions f such that w(sigma) f epsilon L-p(R), where 1 <= p <= infinity and w(sigma) (x) = exp(-sigma x(2)), sigma > 0. Copyright (c) 2007.

引用

页数：12

共 49 条

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