On the Properties of the Modified λ-Bernstein-Stancu Operators
Yazarlar (5)
Zhı-Peng Lın
Xiamen University, Çin
Xiamen University, Çin
Doç. Dr. Gülten TORUN Kastamonu Üniversitesi, Türkiye
Esma Kangal
Gazi Üniversitesi, Türkiye
Gazi Üniversitesi, Türkiye
Prof. Dr. Ülkü Dinlemez Kantar Gazi Üniversitesi, Türkiye
Qıng Bo Caı
Quanzhou Normal University, Çin
Quanzhou Normal University, Çin
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Symmetry (Q2) | ||
| Dergi ISSN | 2073-8994 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2024 |
| Cilt / Sayı / Sayfa | 16 / 10 / 1–14 | DOI | 10.3390/sym16101276 |
| Makale Linki | https://doi.org/10.3390/sym16101276 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| In this study, a new kind of modified λ-Bernstein-Stancu operators is constructed. Compared with the original λ-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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 3 |
| Scopus | 4 |
| Google Scholar | 5 |