Convergence in Variation and Rate of Approximation for Nonlinear Integral Operators of Convolution Type

被引：33

作者：

Angeloni, Laura ^{[1
]}

Vinti, Gianluca ^{[1
]}

机构：

[1] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy

来源：

RESULTS IN MATHEMATICS | 2006年 / 49卷 / 1-2期

关键词：

Nonlinear integral operators; multidimensional variation; order of approximation; Lipschitz classes;

D O I：

10.1007/s00025-006-0208-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we obtain estimates, convergence results and rate of approximation for functions belonging to BV - spaces (spaces of functions with bounded variation) by means of nonlinear convolution integral operators. We treat both the periodic and the non-periodic case using, respectively, the classical Jordan variation and the multidimensional variation in the sense of Tonelli.

引用

页码：1 / 23

页数：23

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