The study of inverse results of approximation for the family of sampling Kantorovich operators in case of alpha-Holder function, 0 < alpha < 1, has been solved in a recent paper of some of the authors. However, the limit case of Lipschitz functions, i.e., when alpha = 1, in which standard methods fail, remained unsolved. In this paper, a solution of the above open problem of inverse approximation has been proposed.

A solution of the problem of inverse approximation for the sampling Kantorovich operators in case of Lipschitz functions

Cantarini, Marco;
2020

Abstract

The study of inverse results of approximation for the family of sampling Kantorovich operators in case of alpha-Holder function, 0 < alpha < 1, has been solved in a recent paper of some of the authors. However, the limit case of Lipschitz functions, i.e., when alpha = 1, in which standard methods fail, remained unsolved. In this paper, a solution of the above open problem of inverse approximation has been proposed.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11566/285140
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