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.
2020
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1480659
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 15
  • ???jsp.display-item.citation.isi??? 13
social impact