Approximation by bivariate Bernstein–Kantorovich–Stancu operators that reproduce exponential functions
Journal of Inequalities and Applications, cilt.2024, sa.1, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2024 Sayı: 1
- Basım Tarihi: 2024
- Doi Numarası: 10.1186/s13660-024-03083-8
- Dergi Adı: Journal of Inequalities and Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
- Anahtar Kelimeler: Bernstein–Kantorovich–Stancu operators, Bivariate operators, Modulus of continuity, Voronovskaya-type theorem
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
In this study, we construct a Stancu-type generalization of bivariate Bernstein–Kantorovich operators that reproduce exponential functions. Then, we investigate some approximation results for these operators. We use test functions to prove a Korovkin-type convergence theorem. Then, we show the rate of convergence by the modulus of continuity and give a Voronovskaya-type theorem. We give a covergence comparison about bivariate Bernstein–Kantorovich–Stancu operators and their exponential form.