On approximation properties of generalized Lupaş type operators based on Polya distribution with Pochhammer k-symbol

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dc.contributor.authorGürel Yılmaz, Övgü
dc.contributor.authorAktaş, Rabia
dc.contributor.authorTaşdelen, Fatma
dc.contributor.authorOlgun, Ali
dc.date.accessioned2025-01-21T16:28:07Z
dc.date.available2025-01-21T16:28:07Z
dc.date.issued2022
dc.departmentKırıkkale Üniversitesi
dc.description.abstractThe purpose of this paper is to introduce a Kantorovich variant of Lupaş-Stancu operators based on Polya distribution with Pochhammer k-symbol. We obtain rates of convergence for these operators by means of the classical modulus of continuity. Also, we give a Voronovskaja type theorem for the pointwise approximation. Furthermore, we construct a bivariate generalization of these operators and we discuss some convergence properties of them. Finally, we present some figures to compare approximation properties of our new operators with those of other operators which are mentioned in this paper. We observe that the approximation of our operators to the function f is better than that of some other operators in a certain range of values of k. © 2022, Hacettepe University. All rights reserved.
dc.description.sponsorshipK?r?kkale University; Kırıkkale University, (2020/045)
dc.identifier.doi10.15672/hujms.911716
dc.identifier.endpage361
dc.identifier.issn2651-477X
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85128806020
dc.identifier.scopusqualityQ2
dc.identifier.startpage338
dc.identifier.trdizinid1161665
dc.identifier.urihttps://doi.org/10.15672/hujms.911716
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1161665
dc.identifier.urihttps://hdl.handle.net/20.500.12587/23489
dc.identifier.volume51
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherHacettepe University
dc.relation.ispartofHacettepe Journal of Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectBernstein operators; Kantorovich operators; Lipschitz class; Lupaş operators; modulus of continuity; Pochhammer k-symbol; Polya distribution; Stancu operators; Voronovskaja type theorem
dc.titleOn approximation properties of generalized Lupaş type operators based on Polya distribution with Pochhammer k-symbol
dc.typeArticle

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