Approximation properties of a new family of Gamma operators and their applications

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dc.authoridansari, khursheed J./0000-0003-4564-6211
dc.authorwosidansari, khursheed J./L-7415-2016
dc.contributor.authorÖzçelik, Reyhan
dc.contributor.authorKara, Emrah Evren
dc.contributor.authorUsta, Fuat
dc.contributor.authorAnsari, Khursheed J.
dc.date.accessioned2023-07-26T11:54:08Z
dc.date.available2023-07-26T11:54:08Z
dc.date.issued2021
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe present paper introduces a new modification of Gamma operators that protects polynomials in the sense of the Bohman-Korovkin theorem. In order to examine their approximation behaviours, the approximation properties of the newly introduced operators such as Voronovskaya-type theorems, rate of convergence, weighted approximation, and pointwise estimates are presented. Finally, we present some numerical examples to verify that the newly constructed operators are an approximation procedure.en_US
dc.description.sponsorshipDeanship of Scientific Research at King Khalid University [R.G.P. 2/172/42]en_US
dc.description.sponsorshipThe authors would like to thank the editor and the referees for their valuable comments and suggestions that improved the quality of our paper. The authors also extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research groups program under Grant number R.G.P. 2/172/42.en_US
dc.identifier.doi10.1186/s13662-021-03666-5
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85119830354en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/s13662-021-03666-5
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12740
dc.identifier.volume2021en_US
dc.identifier.wosWOS:000722215500002en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorÖzçelik, Reyhan
dc.institutionauthorKara, Emrah Evren
dc.institutionauthorUsta, Fuat
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofAdvances In Difference Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectGamma Operators; Modulus Of Continuity; Voronovskaya Theorem; Korovkin-Type Theorem; Shape-Preserving Approximationen_US
dc.titleApproximation properties of a new family of Gamma operators and their applicationsen_US
dc.typeArticleen_US

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