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; Costarelli, Danilo; Vinti, Gianluca. - In: DOLOMITES RESEARCH NOTES ON APPROXIMATION. - ISSN 2035-6803. - 13:(2020), pp. 30-35. [10.14658/PUPJ-DRNA-2020-1-4]
A solution of the problem of inverse approximation for the sampling Kantorovich operators in case of Lipschitz functions
Cantarini, Marco;
2020-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
