Some approximation properties by a class of bivariate operators

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dc.authorid0000-0002-0488-1058
dc.authorid0000-0003-0581-8381
dc.contributor.authorAcu, Ana-Maria
dc.contributor.authorAcar, Tuncer
dc.contributor.authorMuraru, Carmen-Violeta
dc.contributor.authorRadu, Voichita Adriana
dc.date.accessioned2020-03-26T20:19:18Z
dc.date.available2020-03-26T20:19:18Z
dc.date.issued2019
dc.departmentSelçuk Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.description.abstractStarting with the well-known Bernstein operators, in the present paper, we give a new generalization of the bivariate type. The approximation properties of this new class of bivariate operators are studied. Also, the extension of the proposed operators, namely, the generalized Boolean sum (GBS) in the Bogel space of continuous functions is given. In order to underline the fact that in this particular case, GBS operator has better order of convergence than the original ones, some numerical examples are provided with the aid of Maple soft. Also, the error of approximation for the modified Bernstein operators and its GBS-type operator are compared.en_US
dc.description.sponsorshipRomanian Ministery of Research and Innovation, CNCS-UEFISCDI [PN-III-P1-1.1-MC-2018-0792, PN-III-P1-1.1-MC-2018-1041, PN-III-P1-1.1-MC-2018-1179]en_US
dc.description.sponsorshipRomanian Ministery of Research and Innovation, CNCS-UEFISCDI, Grant/Award Number: PN-III-P1-1.1-MC-2018-0792, PN-III-P1-1.1-MC-2018-1041 and PN-III-P1-1.1-MC-2018-1179en_US
dc.identifier.citationAcu, A. M., Acar, T., Muraru, C. V., Radu, V. A. (2019). Some Approximation Properties by a Class of Bivariate Operators. Mathematical Methods in the Applied Sciences, 42(16), 5551-5565.
dc.identifier.doi10.1002/mma.5515en_US
dc.identifier.endpage5565en_US
dc.identifier.issn0170-4214en_US
dc.identifier.issn1099-1476en_US
dc.identifier.issue16en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage5551en_US
dc.identifier.urihttps://dx.doi.org/10.1002/mma.5515
dc.identifier.urihttps://hdl.handle.net/20.500.12395/38203
dc.identifier.volume42en_US
dc.identifier.wosWOS:000503431300041en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAcar, Tuncer
dc.language.isoenen_US
dc.publisherWILEYen_US
dc.relation.ispartofMATHEMATICAL METHODS IN THE APPLIED SCIENCESen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectBernstein operatorsen_US
dc.subjectGBS-type operatorsen_US
dc.subjectmodulus of continuityen_US
dc.titleSome approximation properties by a class of bivariate operatorsen_US
dc.typeArticleen_US

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