Bezier variant of the Bernstein-Durrmeyer type operators

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dc.contributor.authorAcar, Tuncer
dc.contributor.authorAgrawal, P. N.
dc.contributor.authorNeer, Trapti
dc.date.accessioned2020-06-25T18:22:38Z
dc.date.available2020-06-25T18:22:38Z
dc.date.issued2017
dc.departmentKırıkkale Üniversitesi
dc.descriptionAcar, Tuncer/0000-0003-0982-9459
dc.description.abstractIn the present paper, we introduce the Bezier-variant of Durrmeyer modification of the Bernstein operators based on a function , which is infinite times continuously differentiable and strictly increasing function on [0, 1] such that and . We give the rate of approximation of these operators in terms of usual modulus of continuity and K-functional. Next, we establish the quantitative Voronovskaja type theorem. In the last section we obtain the rate of convergence for functions having derivative of bounded variation.en_US
dc.description.sponsorship"Ministry of Human Resource Development" IndiaMinistry of Higher Education & Scientific Research (MHESR)en_US
dc.description.sponsorshipThe third author is thankful to the "Ministry of Human Resource Development" India for financial support to carry out the above research work.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1007/s00025-016-0639-3
dc.identifier.endpage1358en_US
dc.identifier.issn1422-6383
dc.identifier.issn1420-9012
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85007590794
dc.identifier.scopusqualityQ2
dc.identifier.startpage1341en_US
dc.identifier.urihttps://doi.org/10.1007/s00025-016-0639-3
dc.identifier.urihttps://hdl.handle.net/20.500.12587/6846
dc.identifier.volume72en_US
dc.identifier.wosWOS:000414940700021
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofResults In Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBezier operatorsen_US
dc.subjectK-functionalen_US
dc.subjectModulus of continuityen_US
dc.subjectFunctions of bounded variationen_US
dc.titleBezier variant of the Bernstein-Durrmeyer type operatorsen_US
dc.typeArticle

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