On Pointwise Approximation Properties of Multivariate Semi-discrete Sampling Type Operators

被引：13

作者：

Bardaro, Carlo ^{[1
]}

Mantellini, Ilaria ^{[1
]}

机构：

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

来源：

RESULTS IN MATHEMATICS | 2017年 / 72卷 / 03期

关键词：

Voronovskaja-type formula; moments; multivariate generalized Durrmeyer sampling series; Peetre K-functional; FORMULAS;

D O I：

10.1007/s00025-017-0667-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper multivariate extensions of the generalized Durrmeyer sampling type series are considered. We establish a Voronovskaja type formula and a quantitative version. Finally some particular examples are discussed.

引用

页码：1449 / 1472

页数：24

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