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Convergence in Variation and Rate of Approximation for Nonlinear Integral Operators of Convolution Type

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An Erratum to this article was published on 02 March 2010

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.

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  1. Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Via Vanvitelli, 1, I-06123, Perugia, Italy

    Laura Angeloni & Gianluca Vinti

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  1. Laura Angeloni
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  2. Gianluca Vinti
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An erratum to this article is available at http://dx.doi.org/10.1007/s00025-010-0019-3.

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Angeloni, L., Vinti, G. Convergence in Variation and Rate of Approximation for Nonlinear Integral Operators of Convolution Type. Result. Math. 49, 1–23 (2006). https://doi.org/10.1007/s00025-006-0208-2

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  • DOI: https://doi.org/10.1007/s00025-006-0208-2

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