Voronovskaja-Type Quantitative Results for Differences of Positive Linear Operators

We consider positive linear operators having the same fundamental functions and different functionals in front of them. For differences involving such operators, we obtain Voronovskaja-type quantitative results. Applications illustrating the theoretical aspects are presented.

Bibliographic Details
Main Authors: Ana Maria Acu, Gülen Başcanbaz-Tunca, Ioan Raşa
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/8/1392
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spelling doaj-8fd15bda950c4fc6bb0898d4ec25252b2021-08-26T14:23:53ZengMDPI AGSymmetry2073-89942021-07-01131392139210.3390/sym13081392Voronovskaja-Type Quantitative Results for Differences of Positive Linear OperatorsAna Maria Acu0Gülen Başcanbaz-Tunca1Ioan Raşa2Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Str. Dr. I. Ratiu, No. 5–7, 550012 Sibiu, RomaniaDepartment of Mathematics, Faculty of Science, Ankara University, Str. Dögol, 06100 Ankara, TurkeyDepartment of Mathematics, Faculty of Automation and Computer Science, Technical University of Cluj-Napoca, Str. Memorandumului No. 28, 400114 Cluj-Napoca, RomaniaWe consider positive linear operators having the same fundamental functions and different functionals in front of them. For differences involving such operators, we obtain Voronovskaja-type quantitative results. Applications illustrating the theoretical aspects are presented.https://www.mdpi.com/2073-8994/13/8/1392positive linear operatorsVoronovskaja-type resultBernstein operatorsKantorovich operators
collection DOAJ
language English
format Article
sources DOAJ
author Ana Maria Acu
Gülen Başcanbaz-Tunca
Ioan Raşa
spellingShingle Ana Maria Acu
Gülen Başcanbaz-Tunca
Ioan Raşa
Voronovskaja-Type Quantitative Results for Differences of Positive Linear Operators
Symmetry
positive linear operators
Voronovskaja-type result
Bernstein operators
Kantorovich operators
author_facet Ana Maria Acu
Gülen Başcanbaz-Tunca
Ioan Raşa
author_sort Ana Maria Acu
title Voronovskaja-Type Quantitative Results for Differences of Positive Linear Operators
title_short Voronovskaja-Type Quantitative Results for Differences of Positive Linear Operators
title_full Voronovskaja-Type Quantitative Results for Differences of Positive Linear Operators
title_fullStr Voronovskaja-Type Quantitative Results for Differences of Positive Linear Operators
title_full_unstemmed Voronovskaja-Type Quantitative Results for Differences of Positive Linear Operators
title_sort voronovskaja-type quantitative results for differences of positive linear operators
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2021-07-01
description We consider positive linear operators having the same fundamental functions and different functionals in front of them. For differences involving such operators, we obtain Voronovskaja-type quantitative results. Applications illustrating the theoretical aspects are presented.
topic positive linear operators
Voronovskaja-type result
Bernstein operators
Kantorovich operators
url https://www.mdpi.com/2073-8994/13/8/1392
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AT gulenbascanbaztunca voronovskajatypequantitativeresultsfordifferencesofpositivelinearoperators
AT ioanrasa voronovskajatypequantitativeresultsfordifferencesofpositivelinearoperators
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