On New Modification of Bernstein Operators: Theory and Applications
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Dosyalar
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer International Publishing Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Approximation theory has a significant place in the studies in mathematics, and the researches on it are increasing with each passing day. Accordingly, a number of studies have been presented about Bernstein approximation which is one of the most known linear positive operators. In this study, a new modification of Bernstein operators which fix constant and preserve Korovkin's other test functions in limit case has been introduced. Then, the approximation properties of the newly defined operators such as asymptotic formulas, weighted approximation and rate of convergence have been presented. Moreover, numerical simulations are included. Finally, discussion and conclusions are presented.
Açıklama
Anahtar Kelimeler
Bernstein operator, Voronovskaya-type theorem, Rate of convergence, Weighted approximation
Kaynak
Iranian Journal Of Science And Technology Transaction A-Science
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
44
Sayı
4
