Approximation theorems for the new construction of Balazs operators and its applications

Basit Öğe Kaydı
dc.contributor.authorUsta, Fuat
dc.date.accessioned2023-07-26T11:50:18Z
dc.date.available2023-07-26T11:50:18Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractBalazs operators are an influential tool that can be used to approximate a function on the unbounded interval [0, infinity). In this study, a new construction of Balazs operators which depending upon on a function rho(x) has been introduced. The function rho(x) plays a significant role in this construction due to the fact that the new operator preserves definitely two test functions from the set of {1, rho(x), rho(2)(x)}. In this direction, the approximation properties of this newly defined operators are established, such as degree of approximation and Voronovskaya type theorems. Finally, we presented a set of computational examples in order to validate the new construction of operator is an approximation procedure.en_US
dc.identifier.doi10.1515/ms-2022-0085
dc.identifier.endpage1258en_US
dc.identifier.issn0139-9918
dc.identifier.issn1337-2211
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85140489542en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1245en_US
dc.identifier.urihttps://doi.org/10.1515/ms-2022-0085
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12308
dc.identifier.volume72en_US
dc.identifier.wosWOS:000868352700009en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorUsta, Fuat
dc.language.isoenen_US
dc.publisherWalter De Gruyter Gmbhen_US
dc.relation.ispartofMathematica Slovacaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectBalazs Type Operators; Voronovskaya Type Theorem; Rate Of Convergence; Weighted Approximation; Numerical Experimentsen_US
dc.subjectBezier Varianten_US
dc.titleApproximation theorems for the new construction of Balazs operators and its applicationsen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu