Quantitative results for positive linear operators which preserve certain functions

Birou, Marius-Mihai

doi:10.2478/gm-2019-0017

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Quantitative results for positive linear operators which preserve certain functions

General Mathematics

Volume 27 (2019): Issue 2 (December 2019)

By: Marius-Mihai Birou

Open Access

|Mar 2020

Abstract

In this paper we obtain estimations of the errors in approximation by positive linear operators which fix certain functions. We use both the first and the second order classical moduli of smoothness and a generalized modulus of continuity of order two. Some applications involving Bernstein type operators, Kantorovich type operators and genuine Bernstein-Durrmeyer type operators are presented.

References

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DOI: https://doi.org/10.2478/gm-2019-0017 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 85 - 95

Submitted on: Oct 24, 2019

Accepted on: Nov 18, 2019

Published on: Mar 20, 2020

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

positive linear operators,

errors estimations,

classical moduli of smoothness,

generalized modulus of continuity,

Kantorovich type operators,

genuine Bernstein-Durrmeyer type operators

Related subjects:

Mathematics,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2020 Marius-Mihai Birou, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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