Variation diminishing-type properties for multivariate sampling Kantorovich operators

被引：12

作者：

Angeloni, Laura ^{[1
]}

Costarelli, Danilo ^{[1
]}

Seracini, Marco ^{[1
]}

Vinti, Gianluca ^{[1
]}

Zampogni, Luca ^{[1
]}

机构：

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

来源：

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2020年 / 13卷 / 04期

关键词：

Multivariate generalized sampling Kantorovich series; Variation-diminishing type property; Averaged type kernel; Smoothing in digital image processing; Product kernel; INTEGRAL-OPERATORS; CONVERGENCE; APPROXIMATION; GAUGE;

D O I：

10.1007/s40574-020-00256-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish a variation-diminishing type estimate for the multivariate Kantorovich sampling operators with respect to the concept of multidimensional variation introduced by Tonelli. A sharper estimate can be achieved when step functions with compact support (digital images) are considered. Several examples of kernels have been presented.

引用

页码：595 / 605

页数：11

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