Approximation via a product (P, Ka)-convergence method on Hω(K)

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dc.contributor.authorCinar, Selin
dc.contributor.authorYildiz, Sevda
dc.contributor.authorDirik, Fadime
dc.date.accessioned2026-04-25T14:20:20Z
dc.date.available2026-04-25T14:20:20Z
dc.date.issued2026
dc.departmentSinop Üniversitesi
dc.description.abstractThis paper presents a Korovkin-type approximation theorem for positive linear operators defined on the space H omega K ${H}_{\omega }\left(K\right)$ with K = 0 , infinity $K=\left[0,\infty \right)$ . The main result is formulated using the concept of (P, K a )-convergence, which is defined as the product of P-statistical convergence and K a -convergence. We provide a constructive example of a sequence of operators that satisfies the conditions of the theorem. The behaviour of the operator in the example has been further illustrated through graphs. Furthermore, we extend our results to the multidimensional case. Finally, we use a modulus of smoothness to calculate the rate of (P, K a )-convergence for this sequence of operators.
dc.identifier.doi10.1515/ms-2025-1027
dc.identifier.issn0139-9918
dc.identifier.issn1337-2211
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1515/ms-2025-1027
dc.identifier.urihttps://hdl.handle.net/11486/8514
dc.identifier.wosWOS:001708431200001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherWalter De Gruyter Gmbh
dc.relation.ispartofMathematica Slovaca
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20260420
dc.subjectKorovkin theorem
dc.subjectpower series statistical convergence
dc.subjectKa-convergence
dc.subjectthe Bleimann Butzer and Hahn operators
dc.titleApproximation via a product (P, Ka)-convergence method on Hω(K)
dc.typeArticle

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