A generalization of Phillips operators by using the Appell polynomials of class A(2)
Journal of Inequalities and Applications, cilt.2025, sa.1, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2025 Sayı: 1
- Basım Tarihi: 2025
- Doi Numarası: 10.1186/s13660-025-03260-3
- 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: Appell polynomials, Phillips operators, Voronovskaya-type theorem
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
The current paper discusses some important approximation properties of a new modification of the Phillips operators with the help of A(2) class Appell polynomials. Firstly, we present the convergence rate of our new operators by using modulus of continuity. Then we establish a quantitative Voronovskaya-type asymptotic result. We also introduce Hermite polynomials and Gould–Hopper polynomials, which are more specific examples of Appell polynomials.