Approximation of functions by a new class of Gamma type operators; theory and applications

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dc.authoridKara, Emrah Evren/0000-0002-6398-4065en_US
dc.authorscopusid57351831400en_US
dc.authorscopusid36052603200en_US
dc.authorscopusid57194218415en_US
dc.authorwosidKara, Emrah Evren/KRQ-4138-2024en_US
dc.contributor.authorOzcelik, Reyhan
dc.contributor.authorKara, Emrah Evren
dc.contributor.authorUsta, Fuat
dc.date.accessioned2024-08-23T16:03:43Z
dc.date.available2024-08-23T16:03:43Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe study of the linear methods of approximation, which are given by sequences of positive and linear operators, studied extremely, in relation to different subjects of analysis, such as numerical analysis. The principal objective of this manuscript is to develop a new and more comprehensive version of Gamma type operators and presented their approximation features. For this purpose, we benefit from two sequences of functions, which are alpha(n)(x) and beta(n)(x), and from the function tau(x). To indicate how the function tau play a significant role in the construction of the operator, we reconstruct the mentioned operators which preserve exactly two test functions from the set {1, tau, tau(2)}. Then we established Voronovskaya type theorem and order of approximation properties of the newly defined operators utilizing weighted modulus of continuity to show that their approximation properties. At the end of this note, we present a series of numerical results to show that the new operators are an approximation technique.en_US
dc.identifier.doi10.2478/auom-2024-0013
dc.identifier.endpage264en_US
dc.identifier.issn1224-1784
dc.identifier.issn1844-0835
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85194458322en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage247en_US
dc.identifier.urihttps://doi.org/10.2478/auom-2024-0013
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13880
dc.identifier.volume32en_US
dc.identifier.wosWOS:001233512700008en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherOvidius Univ Pressen_US
dc.relation.ispartofAnalele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematicaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGamma type operatorsen_US
dc.subjectVoronovskaya theoremen_US
dc.subjectModulus of continuityen_US
dc.subjectKorovkin type theoremen_US
dc.subjectOrder of approximationen_US
dc.subjectNumerical resultsen_US
dc.titleApproximation of functions by a new class of Gamma type operators; theory and applicationsen_US
dc.typeArticleen_US

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