Rate of pointwise convergence of a new kind of gamma operators for functions of bounded variation

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dc.authorid0000-0002-3641-9052en_US
dc.authorid0000-0002-5768-5763en_US
dc.authorid0000-0003-3715-8621
dc.contributor.authorKarslı, Harun
dc.contributor.authorGupta, Vijay
dc.contributor.authorİzgi, Aydın
dc.date.accessioned2021-06-23T19:26:18Z
dc.date.available2021-06-23T19:26:18Z
dc.date.issued2009
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn the present paper we investigate the behavior of the operators L-n(f, x), defined as Ln(f : x) = (2n +3)!x(n+3)/n!(n+2)! integral(infinity)(0) t(n)/(x + t)(2n+4)f(t)dt, x > 0, and give an estimate of the rate of pointwise convergence of these operators on a Lebesgue point of bounded variation function f defined on the interval (0, infinity). We use analysis instead of probability methods to obtain the rate of pointwise convergence. This type of study is different from the earlier studies on such a type of operator. (C) 2008 Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.aml.2006.12.015
dc.identifier.endpage510en_US
dc.identifier.issn0893-9659
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-61349181831en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage505en_US
dc.identifier.urihttps://doi.org/10.1016/j.aml.2006.12.015
dc.identifier.urihttps://hdl.handle.net/20.500.12491/6493
dc.identifier.volume22en_US
dc.identifier.wosWOS:000264680100015en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKarslı, Harun
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofApplied Mathematics Lettersen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRate of Convergenceen_US
dc.subjectApproximationen_US
dc.subjectLebesgue Pointen_US
dc.subjectGamma Operatorsen_US
dc.subjectBounded Variationen_US
dc.titleRate of pointwise convergence of a new kind of gamma operators for functions of bounded variationen_US
dc.typeArticleen_US

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