Better error estimation for Szasz-Mirakjan-Beta operators

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dc.contributor.authorDuman, Oktay
dc.contributor.authorOzarslan, Mehmet Ali
dc.contributor.authorAktuglu, Hueseyin
dc.date.accessioned2026-02-06T18:19:25Z
dc.date.issued2008
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIn this paper, we present a modification of a sequence of mixed summation-integral type operators having Szasz and Beta basis functions in summation and integration, the so-called Szasz-Mirakjan-Beta operators. Then we show that our modified operators have a better error estimation on the interval [0, 2]. Furthermore, we give an r-th order generalization of the modified Szasz-Mirakjan-Beta operators and investigate their approximation properties.
dc.identifier.endpage59
dc.identifier.issn1521-1398
dc.identifier.issn1572-9206
dc.identifier.issue1
dc.identifier.orcid0000-0001-7779-6877
dc.identifier.scopusqualityN/A
dc.identifier.startpage53
dc.identifier.urihttps://hdl.handle.net/11129/9049
dc.identifier.volume10
dc.identifier.wosWOS:000253260900005
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherEudoxus Press, Llc
dc.relation.ispartofJournal of Computational Analysis and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectSzasz-Mirakjan-Beta operators
dc.subjectpositive linear operators
dc.subjectthe Korovkin-type approximation theorem
dc.subjectmodulus of continuity
dc.subjectLipschitz class functionals
dc.titleBetter error estimation for Szasz-Mirakjan-Beta operators
dc.typeArticle

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