CLASSICAL KANTOROVICH OPERATORS REVISITED

被引：8

作者：

Acu, A. -M. ^{[1
]}

Gonska, H. ^{[2
]}

机构：

[1] Lucian Blaga Univ Sibiu, Sibiu, Romania

[2] Univ Duisburg Essen, Essen, Germany

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2019年 / 71卷 / 06期

关键词：

APPROXIMATION;

D O I：

10.1007/s11253-019-01683-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main aim of this paper is to improve some known estimates for the classical Kantorovich operators. We obtain a quantitative Voronovskaya-type result in terms of the second moduli of continuity, which improves some previous results. In order to explain the nonmultiplicativity of the Kantorovich operators, we present a Chebyshev-Gruss inequality. Two Gruss-Voronovskaya theorems for Kantorovich operators are also considered.

引用

页码：843 / 852

页数：10

共 16 条

[1] GRUSS-TYPE AND OSTROWSKI-TYPE INEQUALITIES IN APPROXIMATION THEORY [J].