(p, q) -Generalization of Szász–Mirakjan operators and their approximation properties
Journal of Inequalities and Applications, vol.2020, no.1, 2020 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 2020 Issue: 1
- Publication Date: 2020
- Doi Number: 10.1186/s13660-020-02390-0
- Journal Name: Journal of Inequalities and Applications
- Journal Indexes: 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
- Keywords: (p, q) -Integers, (p, q) -Szász–Mirakjan operators, Weighted approximation
- Open Archive Collection: Article
- Azerbaijan State University of Economics (UNEC) Affiliated: No
Abstract
We introduce a new modification of (p, q) -analogue of Szász–Mirakjan operators. Firstly, we give a recurrence relation for the moments of (p, q) -analogue of Szász–Mirakjan operators and present some explicit formulae for the moments and central moments up to order 4. Next, we obtain quantitative estimates for the convergence in the polynomial weighted spaces. In addition, we give the Voronovskaya theorem for the new (p, q) -Szász–Mirakjan operators.