Szasz-Baskakov type operators based on q-integers

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dc.authorid0000-0002-3641-9052en_US
dc.contributor.authorAgrawal, Purshottam N.
dc.contributor.authorKarslı, Harun
dc.contributor.authorGoyal, Meenu
dc.date.accessioned2021-06-23T19:35:19Z
dc.date.available2021-06-23T19:35:19Z
dc.date.issued2014
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn the present paper, we introduce the q-analog of the Stancu variant of Szasz-Baskakov operators. We establish the moments of the operators by using the q-derivatives and then prove the basic convergence theorem. Next, the Voronovskaja type theorem and some direct results for the above operators are discussed. Also, the rate of convergence and weighted approximation by these operators in terms of modulus of continuity are studied. Then we obtain a point-wise estimate using the Lipschitz type maximal function. Lastly, we study the A-statistical convergence of these operators and also, in order to obtain a better approximation, we study a King type modification of the above operators.en_US
dc.identifier.doi10.1186/1029-242X-2014-441
dc.identifier.issn1029-242X
dc.identifier.scopus2-s2.0-84938358472en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/1029-242X-2014-441
dc.identifier.urihttps://hdl.handle.net/20.500.12491/7763
dc.identifier.wosWOS:000347519800002en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKarslı, Harun
dc.language.isoenen_US
dc.publisherSpringer International Publishing Agen_US
dc.relation.ispartofJournal Of Inequalities And Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSzasz-Baskakov Operatorsen_US
dc.subjectRate of Convergenceen_US
dc.subjectModulus of Continuityen_US
dc.subjectWeighted Approximationen_US
dc.subjectPoint-wise Estimatesen_US
dc.subjectLipschitz Type Maximal Functionen_US
dc.subjectStatistical Convergenceen_US
dc.titleSzasz-Baskakov type operators based on q-integersen_US
dc.typeArticleen_US

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