On approximation properties of α-Baskakov-Schurer-Stancu operators: graphical investigations

Quan J., Aslan R., YÜKSEL İ., Odabaşı N. F., Cai Q.

Journal of Inequalities and Applications, vol.2025, no.1, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2025 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.1186/s13660-025-03377-5
  • 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: Graphical Analysis, Pointwise approximation, Shape parameter α, Weighted modulus of continuity, α-Baskakov operators
  • Gazi University Affiliated: Yes

Abstract

This paper deals with some behavior of Baskakov-Schurer-Stancu type operators in approximating functions, grounded on non-negative parameter α. Firstly, we establish some needed moment estimations. Next, according to the famous Korovkin theorem we prove weighted approximation result of proposed operators. Also, we provide rate of convergence of these operators and as well as pointwise convergence theorems. Lastly, to demonstrate the efficiency and consistency of the operators, we provide some graphical representations.