Multidimensional sampling-Kantorovich operators in BV-spaces

被引：5
|
作者：
Angeloni, Laura [1 ]
Vinti, Gianluca [1 ]
机构：
[1] Univ Perugia, Dipartimento Matemat & Informat, Via Vanvitelli 1, I-06123 Perugia, Italy
来源：
OPEN MATHEMATICS | 2023年 / 21卷 / 01期
关键词：
sampling-Kantorovich operators; convergence in variation; multidimensional variation; absolute continuity; averaged-type kernels; APPROXIMATION; CONVERGENCE; SERIES; ERROR;
D O I：
10.1515/math-2022-0573
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main purpose of this article is to prove a result of convergence in variation for a family of multidimensional sampling-Kantorovich operators in the case of averaged-type kernels. The setting in which we work is that one of BV-spaces in the sense of Tonelli.
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页数：12
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