Approximation properties of mixed sampling-Kantorovich operators

被引：4

作者：

Angeloni, Laura ^{[1
]}

Costarelli, Danilo ^{[1
]}

Vinti, Gianluca ^{[1
]}

机构：

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

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 115卷 / 01期

关键词：

Sampling-Kantorovich operators; Pointwise convergence; Uniform convergence; Order of approximation; Asymptotic expansions; Voronovskaja formulae; CONVERGENCE; RESPECT; SERIES; ORDER;

D O I：

10.1007/s13398-020-00936-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we study the pointwise and uniform convergence properties of a family of multidimensional sampling Kantorovich type operators. Moreover, besides convergence, quantitative estimates and a Voronovskaja type theorem have been established.

引用

页数：14

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