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

共 28 条

[1] Angeloni L., 2004, INT J MATH SCI, V3, P94
[2] Angeloni L, 2005, DIFFER INTEGRAL EQU, V18, P855
[3] [Anonymous], 1936, ANN SCUOLA NORM-SCI
[4] Barbieri F., 1983, ATTI SEMIN MAT FIS, V32, P308
[5] Bardaro C., 2003, ANAL MUNICH, V23, P299
[6] Bardaro C., 1979, ATTI SEMIN MAT FIS, V28, P373
[7] Bardaro C, 2001, FUNCT APPROX COMMENT, V29, P17, DOI DOI 10.7169/FACM/1538186713
[8] Bardaro C., 2003, DEGRUYTER SERIES NON, V9
[9] Butzer P. L., 1971, Reviews in Group Representation Theory, Part A (Pure and Applied Mathematics Series, VI
[10] Butzer P.L., 1990, NOTE MAT, V10, P173

← 1 2 3 →