Approximation by operators Involving △ h-Gould-Hopper Appell polynomials
TURKISH JOURNAL OF MATHEMATICS, cilt.48, sa.3, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 48 Sayı: 3
- Basım Tarihi: 2024
- Doi Numarası: 10.55730/1300-0098.3517
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Appell polynomials, Kantorovich operators, Szász operators, Voronovskaja-type theorem
- Gazi Üniversitesi Adresli: Evet
Özet
The present paper deals with the approximation properties of the linear positive operators, including triangle h -Gould-Hopper Appell polynomials. We investigate some theorems for convergence of the operators and their approximation degrees with the help of the classical approach, Peetre's K -functional, Lipschitz class and Voronovskajatype theorem. In the last section of the paper, we introduce the Kantorovich form of the operators and examine the approximation degree.