A Review on Approximation Results for Integral Operators in the Space of Functions of Bounded Variation

被引：2

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：

JOURNAL OF FUNCTION SPACES | 2016年 / 2016卷

关键词：

POINTWISE CONVERGENCE; RESPECT;

D O I：

10.1155/2016/3843921

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a review on recent approximation results in the space of functions of bounded variation for some classes of integral operators in the multidimensional setting. In particular, we present estimates and convergence in variation results for both convolution and Mellin integral operators with respect to the Tonelli variation. Results with respect to a multidimensional concept of phi-variation in the sense of Tonelli are also presented.

引用

页数：11

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