Classical Kantorovich operators revisited
Classical Analysis and ODEs
2019-04-26 v1
Abstract
The main object of this paper is to improve some of the known estimates for classical Kantorovich operators. A quantitative Voronovskaya-type result in terms of second moduli of continuity which improves some previous results is obtained. In order to explain non-multiplicativity of the Kantorovich operators a Chebyshev-Gr\"uss inequality is given. Two Gr\"uss-Voronovskaya theorems for Kantorovich operators are considered as well.
Keywords
Cite
@article{arxiv.1904.11135,
title = {Classical Kantorovich operators revisited},
author = {Ana Maria Acu and Heiner Gonska},
journal= {arXiv preprint arXiv:1904.11135},
year = {2019}
}