Convergence in Variation and Rate of Approximation for Nonlinear Integral Operators of Convolution Type |
| |
Authors: | Laura Angeloni Gianluca Vinti |
| |
Institution: | (1) Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Via Vanvitelli, 1, I-06123 Perugia, Italy |
| |
Abstract: | 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. |
| |
Keywords: | Primary 26B30 41A25 41A35 Secondary 47G10 |
本文献已被 SpringerLink 等数据库收录! |