A Note on the Difference of Positive Operators and Numerical Aspects

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dc.contributor.authorAral, A.
dc.contributor.authorErbay, H.
dc.date.accessioned2021-01-14T18:10:51Z
dc.date.available2021-01-14T18:10:51Z
dc.date.issued2020
dc.departmentKKÜ
dc.descriptionARAL, Ali/0000-0002-2024-8607; Erbay, Hasan/0000-0002-7555-541X
dc.description.abstractRecently, the differences between the two operators get the attention of scientists in approximation theory due to their ability to provide the approximation properties of the operator in the difference if the approximation properties of other operator in the difference are known. In other words, it gives us the ability to obtain a simultaneous approximation. On the other hand, the exponential-type operators possess better approximation properties than classical ones. Herein, the differences of the exponential-type Bernstein and Bernstein-Kantorovich operators and their differences between their higher order mu-derivatives applied to a function with the operators applied to the same order of mu-derivative of the function are considered. The estimates in the quantitative form are given in terms of the first modulus of continuity. Furthermore, quantitative estimates of the differences between Bernstein and Bernstein-Kantorovich operators as well as their Gruss-type difference are obtained. The numerical results obtained are in the direction of the theory, and some of them are presented.en_US
dc.identifier.citationBu makale açık erişimli değildir.en_US
dc.identifier.doi10.1007/s00009-020-1489-5
dc.identifier.issn1660-5446
dc.identifier.issn1660-5454
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85079730381
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s00009-020-1489-5
dc.identifier.urihttps://hdl.handle.net/20.500.12587/12795
dc.identifier.volume17en_US
dc.identifier.wosWOS:000517130100003
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSPRINGER BASEL AGen_US
dc.relation.ispartofMEDITERRANEAN JOURNAL OF MATHEMATICS
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectApproximationen_US
dc.subjectBernstein operatorsen_US
dc.subjectBernstein-Kantorovich operatorsen_US
dc.titleA Note on the Difference of Positive Operators and Numerical Aspectsen_US
dc.typeArticle

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