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

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dc.authoridGurel Yilmaz, Ovgu/0000-0003-1498-8526
dc.authoridAktas, Rabia/0000-0002-7811-8610
dc.contributor.authorGurel Yilmaz, Ovgu
dc.contributor.authorAktas, Rabia
dc.contributor.authorTasdelen, Fatma
dc.contributor.authorOlgun, Ali
dc.date.accessioned2025-01-21T16:43:03Z
dc.date.available2025-01-21T16:43:03Z
dc.date.issued2022
dc.departmentKırıkkale Üniversitesi
dc.description.abstractThe purpose of this paper is to introduce a Kantorovich variant of Lupas-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.
dc.description.sponsorshipScientific Research Projects Coordination Unit of Kirikkale University [2020/045]
dc.description.sponsorshipThis work of the first, second and fourth authors was supported by Scientific Research Projects Coordination Unit of Kirikkale University. Project number 2020/045.
dc.identifier.doi10.15672/hujms.911716
dc.identifier.endpage361
dc.identifier.issn2651-477X
dc.identifier.issue2
dc.identifier.startpage338
dc.identifier.urihttps://doi.org/10.15672/hujms.911716
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25193
dc.identifier.volume51
dc.identifier.wosWOS:000779326300001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherHacettepe Univ, Fac Sci
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; Stancu operators; Lupas operators; Kantorovich operators; Polya distribution; modulus of continuity; Lipschitz class; Voronovskaja type theorem; Pochhammer k-symbol
dc.titleOn approximation properties of generalized Lupas type operators based on Polya distribution with Pochhammer k-symbol
dc.typeArticle

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