The q-derivative and applications to q-Szasz Mirakyan operators

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dc.contributor.authorAral, Ali
dc.contributor.authorGupta, Vijay
dc.date.accessioned2020-06-25T17:41:08Z
dc.date.available2020-06-25T17:41:08Z
dc.date.issued2006
dc.departmentKırıkkale Üniversitesi
dc.descriptionGupta, Vijay/0000-0002-5768-5763
dc.description.abstractBy using the properties of the q-derivative, we show that q-Szasz Mirakyan operators are convex, if the function involved is convex, generalizing well-known results for q = 1. We also show that q-derivatives of these operators converge to q-derivatives of approximated functions. Futhermore, we give a Voronovskaya-type theorem for monomials and provide a Stancu-type form for the remainder of the q-Szasz Mirakyan operator. Lastly, we give an inequality for a convex function f, involving a connection between two nonconsecutive terms of a sequence of q-Szasz Mirakyan operators.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1007/s10092-006-0119-3
dc.identifier.endpage170en_US
dc.identifier.issn0008-0624
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-33750901136
dc.identifier.scopusqualityQ1
dc.identifier.startpage151en_US
dc.identifier.urihttps://doi.org/10.1007/s10092-006-0119-3
dc.identifier.urihttps://hdl.handle.net/20.500.12587/3640
dc.identifier.volume43en_US
dc.identifier.wosWOS:000240734100002
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringeren_US
dc.relation.ispartofCalcolo
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleThe q-derivative and applications to q-Szasz Mirakyan operatorsen_US
dc.typeArticle

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