On Kantorovich Modification of (p, q)-Bernstein Operators

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dc.contributor.authorAcar, Tuncer
dc.contributor.authorAral, Ali
dc.contributor.authorMohiuddine, S. A.
dc.date.accessioned2020-06-25T18:29:29Z
dc.date.available2020-06-25T18:29:29Z
dc.date.issued2018
dc.departmentKırıkkale Üniversitesi
dc.descriptionMohiuddine, S. A./0000-0002-9050-9104; Acar, Tuncer/0000-0003-0982-9459
dc.description.abstractIn the present paper, we introduce Kantorovich modifications of (p, q)-Bernstein operators using a new (p, q) -integral. We first estimate the moments and central moments. We obtain uniform convergence of new operators, rate of convergence in terms of classical modulus of continuity and second order modulus of continuity. We also investigate the rate of convergence of new operators for functions belonging to Lipschitz class and finally, we give an upper bound for the error of approximation via modulus of continuity of the derivative of approximating function.en_US
dc.description.sponsorshipKing Abdulaziz University, Jeddah, Saudi Arabiaen_US
dc.description.sponsorshipThe authors gratefully acknowledge the financial support from King Abdulaziz University, Jeddah, Saudi Arabia.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1007/s40995-017-0154-8
dc.identifier.endpage1464en_US
dc.identifier.issn1028-6276
dc.identifier.issn2364-1819
dc.identifier.issueA3en_US
dc.identifier.scopus2-s2.0-85028297268
dc.identifier.scopusqualityQ1
dc.identifier.startpage1459en_US
dc.identifier.urihttps://doi.org/10.1007/s40995-017-0154-8
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7336
dc.identifier.volume42en_US
dc.identifier.wosWOS:000440738200050
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer International Publishing Agen_US
dc.relation.ispartofIranian Journal Of Science And Technology Transaction A-Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject(p, q)-Integersen_US
dc.subject(p, q)-Integralen_US
dc.subject(p, q)-Bernstein operatorsen_US
dc.subject(p, q)-Bernstein-Kantorovich operatorsen_US
dc.subjectRate of convergenceen_US
dc.titleOn Kantorovich Modification of (p, q)-Bernstein Operatorsen_US
dc.typeArticle

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