q-generalizations of the Picard and Gauss-Weierstrass singular integrals

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dc.contributor.authorAral, Ali
dc.contributor.authorGat, Sorin G.
dc.date.accessioned2020-06-25T17:44:15Z
dc.date.available2020-06-25T17:44:15Z
dc.date.issued2008
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIntroducing a higher order modulus of smoothness based on q-integers, in this paper first we obtain Jackson-type estimates in approximation by Jackson-type generalizations of the q-Picard and q-Gauss-Weierstrass singular integrals and give their global smoothness preservation property with respect to the uniform norm. Then, we study approximation and geometric properties of the complex variants for these q -singular integrals attached to analytic functions in compact disks. Finally, we prove approximation properties of these q-singular integrals attached to vector-valued functions.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.endpage2515en_US
dc.identifier.issn1027-5487
dc.identifier.issn2224-6851
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-74049103064
dc.identifier.scopusqualityQ3
dc.identifier.startpage2501en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12587/4055
dc.identifier.volume12en_US
dc.identifier.wosWOS:000262237400016
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMathematical Soc Rep Chinaen_US
dc.relation.ispartofTaiwanese Journal Of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectq-Picard singular integralen_US
dc.subjectq-Gauss-Weierstrass singular integralen_US
dc.subjectJackson-type estimateen_US
dc.subjectModulus of continuityen_US
dc.subjectComplex q-singular integralsen_US
dc.subjectStarlikeen_US
dc.subjectConvex and spirallike functionsen_US
dc.subjectVector valued functionsen_US
dc.titleq-generalizations of the Picard and Gauss-Weierstrass singular integralsen_US
dc.typeArticle

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