A Generalization of Szász-Baskakov Operators by using the Appell Polynomials of Class A(2)
Gazi University Journal of Science, vol.37, no.4, pp.1918-1926, 2024 (ESCI, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 37 Issue: 4
- Publication Date: 2024
- Doi Number: 10.35378/gujs.1391889
- Journal Name: Gazi University Journal of Science
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Metadex, Civil Engineering Abstracts, TR DİZİN (ULAKBİM)
- Page Numbers: pp.1918-1926
- Keywords: A(2) class Appell polynomials, Modulus of continuity, Steklov function, Szász-Baskakov operators
- Ankara Haci Bayram Veli University Affiliated: Yes
Abstract
In this paper, we obtain a generalization of the Szász-Baskakov operators with the help of A(2) class Appell polynomials. For every compact subset of [0, ∞), the uniform convergence of these operators is provided. We also mention the convergence rate of our new operators and then we find some approximation results. The rate of convergence is obtained with the help of the Steklov function.