General Gamma type operators based on q-integers

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dc.authorid0000-0002-3641-9052en_US
dc.contributor.authorKarslı, Harun
dc.contributor.authorAgrawal, P. N.
dc.contributor.authorGoyal, Meenu
dc.date.accessioned2021-06-23T19:42:23Z
dc.date.available2021-06-23T19:42:23Z
dc.date.issued2015
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn the present paper, we introduce the q-analogue of the general Gamma type 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 point-wise estimate using the Lipschitz type maximal function. Further, we study the A-statistical convergence of these operators. Lastly, we propose a king type modification of these operators to obtain better estimates. (C) 2014 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.amc.2014.11.085
dc.identifier.endpage575en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.scopus2-s2.0-84918493691en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage564en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2014.11.085
dc.identifier.urihttps://hdl.handle.net/20.500.12491/8464
dc.identifier.volume251en_US
dc.identifier.wosWOS:000347405500050en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKarslı, Harun
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics And Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGeneral Gamma type operatorsen_US
dc.subjectRate of Convergenceen_US
dc.subjectModulus of Continuityen_US
dc.subjectWeighted Approximationen_US
dc.subjectPointwise Estimatesen_US
dc.subjectStatistical Convergenceen_US
dc.titleGeneral Gamma type operators based on q-integersen_US
dc.typeArticleen_US

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