In this paper we study approximation problems for functions belonging to BV^phi-spaces (spaces of functions of bounded phi-variation) in multidimensional setting. In particular, using a multidimensional concept of phi-variation in the sense of Tonelli introduced in [Angeloni-Vinti, J. Math. Anal. Appl., 2009], we obtain estimates, convergence results and, by means of suitable Lipschitz classes, results about the order of approximation for a family of nonlinear convolution integral operators.
Approximation results with respect to multidimensional phi-variation for nonlinear integral operators
ANGELONI, Laura
2013
Abstract
In this paper we study approximation problems for functions belonging to BV^phi-spaces (spaces of functions of bounded phi-variation) in multidimensional setting. In particular, using a multidimensional concept of phi-variation in the sense of Tonelli introduced in [Angeloni-Vinti, J. Math. Anal. Appl., 2009], we obtain estimates, convergence results and, by means of suitable Lipschitz classes, results about the order of approximation for a family of nonlinear convolution integral operators.File in questo prodotto:
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