Jain's operator: A new construction and applications in approximation theory

Ansari K. J., Civelek M., Usta F.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.46, no.13, pp.14164-14176, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 13
  • Publication Date: 2023
  • Doi Number: 10.1002/mma.9311
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.14164-14176
  • Karadeniz Technical University Affiliated: No

Abstract

The new and more comprehensive Jain-type operators based on a function tau and two sequences of functions pn and qn have been introduced. This newly defined operator has an important place in which these three functions can create both existing and new operators with special selections. In order to show their approximation properties, we present direct approximation results and Voronovkskaya-type results for these operators. Finally, we provide a series of numerical examples to show their performance visually.