ON GAUSS-WEIERSTRASS TYPE INTEGRAL OPERATORS

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dc.authoridARAL, Ali/0000-0002-2024-8607
dc.contributor.authorAnastassiou, George A.
dc.contributor.authorAral, Ali
dc.date.accessioned2025-01-21T16:43:05Z
dc.date.available2025-01-21T16:43:05Z
dc.date.issued2010
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, we introduce a generalization of Gauss-Weierstrass operators based on q-integers using the q-integral and we call them q-Gauss-Weierstrass integral operators. For these operators, we obtain a convergence property in a weighted function space using Korovkin theory. Then we estimate the rate of convergence of these operators in terms of a weighted modulus of continuity. We also prove optimal global smoothness preservation property of these operators
dc.identifier.endpage849
dc.identifier.issn0420-1213
dc.identifier.issn2391-4661
dc.identifier.issue4
dc.identifier.startpage841
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25198
dc.identifier.volume43
dc.identifier.wosWOS:000210127300010
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherSciendo
dc.relation.ispartofDemonstratio Mathematica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectGauss-Weierstrass operators; weighted approximation; q-exponential functions; q-derivative; q-integral
dc.titleON GAUSS-WEIERSTRASS TYPE INTEGRAL OPERATORS
dc.typeArticle

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