Quantitative results for positive linear operators which preserve certain functions-Reference-Cited by-同舟云学术

Quantitative results for positive linear operators which preserve certain functions

Published:2019-12-01 Issue:2 Volume:27 Page:85-95
ISSN:1584-3289
Container-title:General Mathematics
language:en
Short-container-title:

Author:

Birou Marius-Mihai¹

Affiliation:

1. Technical University of Cluj Napoca , România , Faculty of Automatics and Computer Science, Department of Mathematics , 28 Memorandumului Str., Cluj Napoca , România

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/gm-2019-0017

Reference8 articles.

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