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On the Properties of the Modified λ-Bernstein-Stancu Operators      
Yazarlar (5)
Zhı-Peng Lın
Xiamen University, Çin
Doç. Dr. Gülten TORUN Doç. Dr. Gülten TORUN
Kastamonu Üniversitesi, Türkiye
Esma Kangal
Gazi Üniversitesi, Türkiye
Ülkü Dinlemez Kantar
Gazi Üniversitesi, Türkiye
Qıng Bo Caı
Quanzhou Normal University, Çin
Devamını Göster
Özet
In this study, a new kind of modified (Formula presented.) -Bernstein-Stancu operators is constructed. Compared with the original (Formula presented.) -Bézier basis function, the newly operator basis function is more concise in form and has certain symmetry beauty. The moments and central moments are computed. A Korovkin-type approximation theorem is presented, and the degree of convergence is estimated with respect to the modulus of continuity, Peetre's K-functional, and functions of the Lipschitz-type class. Moreover, the Voronovskaja type approximation theorem is examined. Finally, some numerical examples and graphics to show convergence are presented.
Anahtar Kelimeler
Bézier Bases functions | Korovkin type theorem | modulus of continuity | rate of approximation | Voronovskaja type theorem | λ-Bernstein-Stancu type operators
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı Symmetry
Dergi ISSN 2073-8994 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q2
Makale Dili İngilizce
Basım Tarihi 09-2024
Cilt No 16
Sayı 10
Sayfalar 1 / 14
Doi Numarası 10.3390/sym16101276
Makale Linki https://doi.org/10.3390/sym16101276
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 2
SCOPUS 2
Google Scholar 3
On the Properties of the Modified λ-Bernstein-Stancu Operators

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