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.
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页数：14
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