Szász-Baskakov-Stancu operators based on Boas-Buck-type polynomials
Filomat, vol.38, no.33, pp.11987-12007, 2024 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 38 Issue: 33
- Publication Date: 2024
- Doi Number: 10.2298/fil2433987k
- Journal Name: Filomat
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.11987-12007
- Keywords: Appell polynomials, Boas-Buck-type polynomials, Gould Hopper polynomials, Hermite polynomials, Weighted modulus of continuity
- Ankara Haci Bayram Veli University Affiliated: Yes
Abstract
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.