Stancu-Jakimovski-Leviatan operators involving confluent appell polynomials
FILOMAT, cilt.39, sa.22, ss.7867-7876, 2025 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 39 Sayı: 22
- Basım Tarihi: 2025
- Doi Numarası: 10.2298/fil2522867k
- Dergi Adı: FILOMAT
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
- Sayfa Sayıları: ss.7867-7876
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
The Stancu-type generalization of Jakimovski-Leviatan operators, involving confluent Appell polynomials, and their approximation features are the focus of this paper. Moreover, the modulus of continuity and Peetre−K functional are used to determine the rate of convergence of the confluent Jakimovski-Leviatan operators. Next, we demonstrate that the newly created operators diminish confluent Bernoulli polynomials and confluent Hermite polynomials, under specific choices of A(ψ). Lastly, we provide a graphic comparison between the newly created operators and the Stancu-type Jakimovski-Leviatan operators.