Generalization of Szasz-Baskakov operators based on Touchard polynomials
FILOMAT, cilt.39, sa.32, ss.11381-11392, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 39 Sayı: 32
- Basım Tarihi: 2025
- Doi Numarası: 10.2298/fil2532381c
- Dergi Adı: FILOMAT
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.11381-11392
- Gazi Üniversitesi Adresli: Evet
Özet
In this study, we present a generalization of the Szasz-Baskakov operators using Touchard polynomials. First, we establish the rate of convergence for the newly defined operators. Subsequently, several approximation results are established. Finally, Voronovskaya-type theorem is proved and some graphical results are given to show the rate of convergence of constructed operators to a given function f.