We study approximation problems by means of nonlinear convolution integral operators for functions belonging to BV^phi-spaces, i.e., functions with bounded phi-variation in the sense of Musielak-Orlicz. In particular, we obtain estimates and convergence results with respect to phi-variation. Introducing suitable Lipschitz classes that take into account the phi-variational functional, the problem of the rate of approximation is also considered.

Approximation by means of nonlinear integral operators in the space of functions with bounded phi-variation

ANGELONI, Laura
Membro del Collaboration Group
;
VINTI, Gianluca
Membro del Collaboration Group
2007

Abstract

We study approximation problems by means of nonlinear convolution integral operators for functions belonging to BV^phi-spaces, i.e., functions with bounded phi-variation in the sense of Musielak-Orlicz. In particular, we obtain estimates and convergence results with respect to phi-variation. Introducing suitable Lipschitz classes that take into account the phi-variational functional, the problem of the rate of approximation is also considered.
2007
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/154996
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