The study of inverse results of approximation for the family of sampling Kantorovich operators in case of α-Hölder function, 0 < α < 1, has been solved in a recent paper of some of the authors. However, the limit case of Lipschitz functions, i.e., when α = 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 M.;Costarelli D.
;Vinti G.
2020
Abstract
The study of inverse results of approximation for the family of sampling Kantorovich operators in case of α-Hölder function, 0 < α < 1, has been solved in a recent paper of some of the authors. However, the limit case of Lipschitz functions, i.e., when α = 1, in which standard methods fail, remained unsolved. In this paper, a solution of the above open problem of inverse approximation has been proposed.File in questo prodotto:
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