A note on Baskakov-Kantorovich type operators preservinge(-x)

Yilmaz Ö., Gupta V., Aral A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.43, no.13, pp.7511-7517, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 13
  • Publication Date: 2020
  • Doi Number: 10.1002/mma.5337
  • 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.7511-7517
  • Keywords: Baskakov-Kantorovich operators, King-type operators, modulus of convergence, Voronovskaya type theorems
  • Recep Tayyip Erdoğan University Affiliated: Yes

Abstract

In this paper, we give a generalization of the Baskakov-Kantorovich type operators that reproduce functionse(0)ande(-x). We discuss uniform convergence of this generalization by means of the modulus of continuity and establish quantitive asymptotic formula.