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.
Convergence in Variation and Rate of Approximation for Nonlinear Integral Operators of Convolution Type
ANGELONI, Laura;VINTI, Gianluca
2006
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.File in questo prodotto:
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