A Note on New Construction of Meyer-Konig and Zeller Operators and Its Approximation Properties

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dc.authoridansari, khursheed J./0000-0003-4564-6211
dc.authoridansari, khursheed/0000-0003-4564-6211
dc.authoridCai, Qing-Bo/0000-0003-4759-7441
dc.authoridUSTA, FUAT/0000-0002-7750-6910
dc.authorwosidansari, khursheed J./L-7415-2016
dc.authorwosidansari, khursheed/M-5289-2019
dc.authorwosidCai, Qing-Bo/AAE-6568-2022
dc.contributor.authorCai, Qing-Bo
dc.contributor.authorAnsari, Khursheed J.
dc.contributor.authorUsta, Fuat
dc.date.accessioned2023-07-26T11:57:36Z
dc.date.available2023-07-26T11:57:36Z
dc.date.issued2021
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe topic of approximation with positive linear operators in contemporary functional analysis and theory of functions has emerged in the last century. One of these operators is Meyer-Konig and Zeller operators and in this study a generalization of Meyer-Konig and Zeller type operators based on a function tau by using two sequences of functions will be presented. The most significant point is that the newly introduced operator preserves {1,tau,tau 2} instead of classical Korovkin test functions. Then asymptotic type formula, quantitative results, and local approximation properties of the introduced operators are given. Finally a numerical example performed by MATLAB is given to visualize the provided theoretical results.en_US
dc.description.sponsorshipNatural Science Foundation of Fujian Province of China [R.G.P.1/195/42]; Project for High-level Talent Innovation and Entrepreneurship of Quanzhou [2018C087R]; Program for New Century Excellent Talents in Fujian Province University; [2020J01783]en_US
dc.description.sponsorshipThis work is supported by the Natural Science Foundation of Fujian Province of China (Grant No. 2020J01783), the Project for High-level Talent Innovation and Entrepreneurship of Quanzhou (Grant No. 2018C087R) and the Program for New Century Excellent Talents in Fujian Province University.en_US
dc.identifier.doi10.3390/math9243275
dc.identifier.issn2227-7390
dc.identifier.issue24en_US
dc.identifier.scopus2-s2.0-85121299700en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/math9243275
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13242
dc.identifier.volume9en_US
dc.identifier.wosWOS:000736332200001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorUsta, Fuat
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofMathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectMeyer-Konig And Zeller Operators; Modulus Of Continuity; Shape Preserving Approximation; Voronovskaya Theorem; Korovkin Type Theoremen_US
dc.titleA Note on New Construction of Meyer-Konig and Zeller Operators and Its Approximation Propertiesen_US
dc.typeArticleen_US

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