Approximation by bivariate Bernstein-Kantorovich operators that reproduce exponential functions
Filomat, cilt.39, sa.10, ss.3489-3500, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 39 Sayı: 10
- Basım Tarihi: 2025
- Doi Numarası: 10.2298/fil2510489k
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.3489-3500
- Anahtar Kelimeler: Bernstein-Kantorovich operators, Bivariate operators, Modulus of continuity, Voronovskaya-type theorem
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
In this study, we construct bivariate Bernstein-Kantorovich polynomials which reproduce exponential function and investigate some approximation results for these operators. We use the test functions to prove Korovkin-type theorem. Then we obtain the rate of convergence by means of the modulus of continuity. We demonstrate the Voronovskaya-type theorem for the newly constructed operator. In the last section, we represent some illustrative graphics to show the convergence of the constructed operators and we give some numerical results.