(p, q) -Generalization of Szász–Mirakjan operators and their approximation properties

Creative Commons License

Kara M., Mahmudov N.

Journal of Inequalities and Applications, vol.2020, no.1, 2020 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 2020 Say: 1
  • Nəşr tarixi: 2020
  • Doi nömrəsi: 10.1186/s13660-020-02390-0
  • jurnalın adı: Journal of Inequalities and Applications
  • Jurnalın baxıldığı indekslər: 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
  • Açar sözlər: (p, q) -Integers, (p, q) -Szász–Mirakjan operators, Weighted approximation
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

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.