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
收藏
页码：595 / 605
页数：11
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