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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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
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spelling doaj-cc9c698037954a7aa8f9490c5dd96e3d2020-11-25T03:12:46ZengMDPI AGMathematics2227-73902020-05-01879879810.3390/math8050798Estimates for the Differences of Certain Positive Linear OperatorsAna Maria Acu0Sever Hodiş1Ioan Rașa2Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Str. Dr. I. Ratiu, No. 5-7, RO-550012 Sibiu, RomaniaDepartment of Mathematics, Faculty of Automation and Computer Science, Technical University of Cluj-Napoca, Str. Memorandumului nr. 28, 400114 Cluj-Napoca, RomaniaDepartment of Mathematics, Faculty of Automation and Computer Science, Technical University of Cluj-Napoca, Str. Memorandumului nr. 28, 400114 Cluj-Napoca, RomaniaThe 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.https://www.mdpi.com/2227-7390/8/5/798positive linear operatorsestimates of differences of operatorsBaskakov operatorsMKZ-operatorsBBH-operatorsKantorovich modifications
collection DOAJ
language English
format Article
sources DOAJ
author Ana Maria Acu
Sever Hodiş
Ioan Rașa
spellingShingle Ana Maria Acu
Sever Hodiş
Ioan Rașa
Estimates for the Differences of Certain Positive Linear Operators
Mathematics
positive linear operators
estimates of differences of operators
Baskakov operators
MKZ-operators
BBH-operators
Kantorovich modifications
author_facet Ana Maria Acu
Sever Hodiş
Ioan Rașa
author_sort Ana Maria Acu
title Estimates for the Differences of Certain Positive Linear Operators
title_short Estimates for the Differences of Certain Positive Linear Operators
title_full Estimates for the Differences of Certain Positive Linear Operators
title_fullStr Estimates for the Differences of Certain Positive Linear Operators
title_full_unstemmed Estimates for the Differences of Certain Positive Linear Operators
title_sort estimates for the differences of certain positive linear operators
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-05-01
description 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.
topic positive linear operators
estimates of differences of operators
Baskakov operators
MKZ-operators
BBH-operators
Kantorovich modifications
url https://www.mdpi.com/2227-7390/8/5/798
work_keys_str_mv AT anamariaacu estimatesforthedifferencesofcertainpositivelinearoperators
AT severhodis estimatesforthedifferencesofcertainpositivelinearoperators
AT ioanrasa estimatesforthedifferencesofcertainpositivelinearoperators
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