On Szasz-Mirakyan Operators Preserving e(2ax), a > 0

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dc.contributor.authorAcar, Tuncer
dc.contributor.authorAral, Ali
dc.contributor.authorGonska, Heiner
dc.date.accessioned2020-06-25T18:23:11Z
dc.date.available2020-06-25T18:23:11Z
dc.date.issued2017
dc.departmentKırıkkale Üniversitesi
dc.descriptionAcar, Tuncer/0000-0003-0982-9459
dc.description.abstractA modification of Szasz-Mirakyan operators is presented that reproduces the functions 1 and e(2ax), a > 0 fixed. We prove uniform convergence, order of approximation via a certain weighted modulus of continuity, and a quantitative Voronovskaya-type theorem. A comparison with the classical Szasz-Mirakyan operators is given. Some shape preservation properties of the new operators are discussed as well. Using a natural transformation, we also present a uniform error estimate for the operators in terms of the first- and second-order moduli of smoothness.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1007/s00009-016-0804-7
dc.identifier.issn1660-5446
dc.identifier.issn1660-5454
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85007421310
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s00009-016-0804-7
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7035
dc.identifier.volume14en_US
dc.identifier.wosWOS:000395093400006
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofMediterranean Journal Of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSzasz-Mirakyan operatorsen_US
dc.subjectKing operatorsen_US
dc.subjectWeighted modulus of continuityen_US
dc.subjectUniform convergenceen_US
dc.titleOn Szasz-Mirakyan Operators Preserving e(2ax), a > 0en_US
dc.typeArticle

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