Estimates for the Differences of Certain Positive Linear Operators

Estimates for the Differences of Certain Positive Linear Operators

The present paper deals with estimates for differences of certain positive linear operators defined on bounded or unbounded intervals. Our approach involves Baskakov type operators, the <i>k</i>th order Kantorovich modification of the Baskakov operators, the discrete operators associated...

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Bibliographic Details
Main Authors: Ana Maria Acu, Sever Hodiş, Ioan Rașa
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Mathematics
Subjects:
positive linear operators
estimates of differences of operators
Baskakov operators
MKZ-operators
BBH-operators
Kantorovich modifications
Online Access:https://www.mdpi.com/2227-7390/8/5/798
Description
Summary:The present paper deals with estimates for differences of certain positive linear operators defined on bounded or unbounded intervals. Our approach involves Baskakov type operators, the <i>k</i>th order Kantorovich modification of the Baskakov operators, the discrete operators associated with Baskakov operators, Meyer–König and Zeller operators and Bleimann–Butzer–Hahn operators. Furthermore, the estimates in quantitative form of the differences of Baskakov operators and their derivatives in terms of first modulus of continuity are obtained.
ISSN:2227-7390

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