A quantitative asymptotic formula for a general class of discrete operators

被引：8

作者：

Bardaro, Carlo ^{[1
]}

Mantellini, Ilaria ^{[1
]}

机构：

[1] Univ Perugia, Dept Math & Informat, I-06123 Perugia, Italy

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 10期

关键词：

Voronovskaja type formula; Moments; Peetre K-functional; Discrete operators; LINEAR-OPERATORS; INTERPOLATION; SPACES;

D O I：

10.1016/j.camwa.2010.09.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here we give some quantitative versions of the Voronovskaja formula for a general class of discrete operators, not necessarily positive. Applications to various generalizations of the Szasz-Mirakjan operator and a Jackson type sampling operator are given. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：2859 / 2870

页数：12

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