A new generalization of complex perturbed Bernstein-type operators
Rendiconti del Circolo Matematico di Palermo, cilt.74, sa.4, 2025 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 74 Sayı: 4
- Basım Tarihi: 2025
- Doi Numarası: 10.1007/s12215-025-01235-3
- Dergi Adı: Rendiconti del Circolo Matematico di Palermo
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
- Anahtar Kelimeler: Complex Stancu operator, Equivalence, Perturbed Bernstein operator, Quantitative estimates, Simultaneous approximation
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
In this paper, we introduce a new generalization of complex Stancu operators and study some approximation properties of these operators attached to analytic functions in an open disk centered at the origin. At first, we obtain upper quantitative estimates for the convergence and then give lower estimates from a qualitative Voronovskaja type theorem. Finally, we establish the exact degree of simultaneous approximation with the help of upper and lower estimates.