Differences of Positive Linear Operators on Simplices-Reference-Cited by-同舟云学术

Differences of Positive Linear Operators on Simplices

Published:2021-03-25 Issue: Volume:2021 Page:1-11
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Acu Ana-Maria¹^ORCID,Başcanbaz-Tunca Gülen²^ORCID,Rasa Ioan³^ORCID

Affiliation:

1. Lucian Blaga University of Sibiu, Department of Mathematics and Informatics, Str. Dr. I. Ratiu, No. 5-7, RO-550012 Sibiu, Romania

2. Ankara University, Faculty of Science, Department of Mathematics, Str. Dögol, 06100 Besevler, Ankara, Turkey

3. Technical University of Cluj-Napoca, Faculty of Automation and Computer Science, Department of Mathematics, Str. Memorandumului No. 28, 400114 Cluj-Napoca, Romania

Abstract

The aim of the paper is twofold: we introduce new positive linear operators acting on continuous functions defined on a simplex and then estimate differences involving them and/or other known operators. The estimates are given in terms of moduli of smoothness and

K

-functionals. Several applications and examples illustrate the general results.

Funder

Knowledge Transfer Center of the Lucian Blaga University of Sibiu

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/5531577.pdf

Reference40 articles.

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5. On Peano's form of the Taylor remainder, Voronovskaja's theorem and the commutator of positive linear operators;H. Gonska,2006

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