A solution of the problem of inverse approximation for the sampling Kantorovich operators in case of Lipschitz functions
M. Cantarini, D. Costarelli, G. Vinti
tlooto Summary
A solution to the inverse approximation problem for sampling Kantorovich operators is proposed for Lipschitz functions.
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.
Citation format
CANTARINI, M.; COSTARELLI, D.; VINTI, G. A solution of the problem of inverse approximation for the sampling kantorovich operators in case of lipschitz functions. Dolomites Research Notes on Approximation, 2020, 13.