On approximation by some Bernstein-Kantorovich exponential-type polynomials

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dc.contributor.authorAral, Ali
dc.contributor.authorOtrocol, Diana
dc.contributor.authorRasa, Ioan
dc.date.accessioned2020-06-25T18:30:23Z
dc.date.available2020-06-25T18:30:23Z
dc.date.issued2019
dc.departmentKırıkkale Üniversitesi
dc.descriptionARAL, Ali/0000-0002-2024-8607
dc.description.abstractSince the introduction of Bernstein operators, many authors defined and/or studied Bernstein type operators and their generalizations, among them are Morigi and Neamtu (Adv Comput Math 12:133-149, 2000). They proposed an analog of classical Bernstein operator and proved some convergence results for continuous functions. Herein, we introduce their integral extensions in Kantorovich sense by replacing the usual differential and integral operators with their more general analogues. By means of these operators, we are able to reconstruct the functions which are not necessarily continuous. It is shown that the operators form an approximation process in both C [0, 1] and L-p,L-mu [0, 1], which is an exponentially weighted space. Also, quantitative results are stated in terms of appropriate moduli of smoothness and K-functionals. Furthermore, a quantitative Voronovskaya type result is presented.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1007/s10998-019-00284-3
dc.identifier.endpage254en_US
dc.identifier.issn0031-5303
dc.identifier.issn1588-2829
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85068311018
dc.identifier.scopusqualityQ2
dc.identifier.startpage236en_US
dc.identifier.urihttps://doi.org/10.1007/s10998-019-00284-3
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7630
dc.identifier.volume79en_US
dc.identifier.wosWOS:000492157300011
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringeren_US
dc.relation.ispartofPeriodica Mathematica Hungarica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBernstein-Kantorovich operatoren_US
dc.subjectUniform convergenceen_US
dc.subjectModulus of continuityen_US
dc.titleOn approximation by some Bernstein-Kantorovich exponential-type polynomialsen_US
dc.typeArticle

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