Approximation by Bivariate (p, q)-Bernstein-Kantorovich Operators

dc.contributor.authorAcar, Tuncer
dc.contributor.authorAral, Ali
dc.contributor.authorMohiuddine, S. A.
dc.date.accessioned2020-06-25T18:29:35Z
dc.date.available2020-06-25T18:29:35Z
dc.date.issued2018
dc.departmentKırıkkale Üniversitesi
dc.descriptionAcar, Tuncer/0000-0003-0982-9459; Mohiuddine, S. A./0000-0002-9050-9104;
dc.description.abstractIn the present paper, we introduce Kantorovich modifications of (p, q)-Bernstein operators for bivariate functions using a new (p, q)-integral. We first estimate the moments and central moments. We give the uniform convergence of new operators, rate of convergence in terms of modulus of continuity. The approximations behaviours of the operators for functions having continuous partial derivatives and for functions belong to Lipschitz class are investigated as well.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/s40995-016-0045-4
dc.identifier.endpage662en_US
dc.identifier.issn1028-6276
dc.identifier.issn2364-1819
dc.identifier.issueA2en_US
dc.identifier.scopus2-s2.0-85042234048
dc.identifier.scopusqualityQ1
dc.identifier.startpage655en_US
dc.identifier.urihttps://doi.org/10.1007/s40995-016-0045-4
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7381
dc.identifier.volume42en_US
dc.identifier.wosWOS:000433227600039
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.subjectBivariate (p , q)-integralen_US
dc.subjectBivariate (p , q) -Bernstein-Kantorovich operatorsen_US
dc.subjectRate of convergenceen_US
dc.subjectUniform convergenceen_US
dc.titleApproximation by Bivariate (p, q)-Bernstein-Kantorovich Operatorsen_US
dc.typeArticle

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