| Yazarlar |
Zhı-Peng Lın
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Dr. Öğr. Üyesi Gülten TORUN
Kastamonu Üniversitesi, Türkiye |
|
Esma Kangal
|
|
Ülkü Dinlemez Kantar
|
|
Qıng Bo Caı
|
| 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 yayımlanan tam makale |
| Dergi Adı | Symmetry |
| Dergi ISSN | 2073-8994 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 09-2024 |
| Cilt No | 16 |
| Sayı | 10 |
| Sayfalar | 1 / 14 |
| Doi Numarası | 10.3390/sym16101276 |
| Makale Linki | http://dx.doi.org/10.3390/sym16101276 |
| Atıf Sayıları |
