Szász-Baskakov-Stancu operators based on Boas-Buck-type polynomials
Filomat, cilt.38, sa.33, ss.11987-12007, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 38 Sayı: 33
- Basım Tarihi: 2024
- Doi Numarası: 10.2298/fil2433987k
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.11987-12007
- Anahtar Kelimeler: Appell polynomials, Boas-Buck-type polynomials, Gould Hopper polynomials, Hermite polynomials, Weighted modulus of continuity
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
In this article, Stancu type generalization of the Szász-Baskakov operators including BoasBuck type polynomials is given. The convergence properties are investigated in weighted space and the rate of convergence is found with the help of the weighted modulus of continuity. Theoretical results are shown with the help of Appell polynomials, Hermite polynomials and Gould-Hopper polynomials, respectively. Finally, we present some numerical examples to validate our theoretical results and compare the approximation errors of the newly constructed operators with the approximation errors of the SzászBaskakov operators based on Boas-Buck-type polynomials.