Comparison of Two-Parameter Bernstein Operator and Bernstein-Durrmeyer Variants

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dc.contributor.authorAral, Ali
dc.contributor.authorErbay, Hasan
dc.date.accessioned2020-06-25T18:29:20Z
dc.date.available2020-06-25T18:29:20Z
dc.date.issued2018
dc.departmentKırıkkale Üniversitesi
dc.descriptionErbay, Hasan/0000-0002-7555-541X
dc.description.abstractThe quantum calculus and the post-quantum calculus have recently gained broad popularity in computational science and engineering due to their applications to diverse areas such as solution of differential equations, approximation theory and computer-aided geometric design. Herein, we consider two parameters but two different modified Bernstein-Durrmeyer operators along with two-parameter Bernstein operator. We obtain estimates to the differences between the Bernstein operator and each modified Bernstein-Durrmeyer operator using classical modulus of continuity. In addition, similar estimates are obtained for Chebyshev functional of these operators. Main purpose of using two-parameter operators is to allow us more flexible approximations compared to their classical versions, namely depending on values of parameters, the approximation can be speeded up. Numerical results presented approves the theoretical results.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1007/s41980-018-0101-2
dc.identifier.endpage1484en_US
dc.identifier.issn1017-060X
dc.identifier.issn1735-8515
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85056887131
dc.identifier.scopusqualityQ2
dc.identifier.startpage1471en_US
dc.identifier.urihttps://doi.org/10.1007/s41980-018-0101-2
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7238
dc.identifier.volume44en_US
dc.identifier.wosWOS:000451335800008
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Singapore Pte Ltden_US
dc.relation.ispartofBulletin Of The Iranian Mathematical Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject(p, q)-Bernstein operatoren_US
dc.subject(p, q)-Bernsteinen_US
dc.subjectDurrmeyer operatoren_US
dc.subject(p, q)-genuine Bernstein-Durrmeyer operatoren_US
dc.titleComparison of Two-Parameter Bernstein Operator and Bernstein-Durrmeyer Variantsen_US
dc.typeArticle

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