Aproximation properties of λ-Bernstein-Kantorovich-Stancu operators

Authors

  • Murat Bodur Ankara University
  • Nesibe Manav Istanbul Gelisim University
  • Fatma Taşdelen Ankara University

DOI:

https://doi.org/10.1515/ms-2022-0010

Keywords:

λ-Bernstein operators, λ-Kantorovich-Stancu operators, Voronovskaja type theorem, Rate of convergence

Abstract

The goal of this paper is to construct a new type of Bernstein operators depending on the shape parameter λϵ[-1,1]. For these new type operators a uniform convergence result is presented. Furthermore, order of approximation in the sense of local approximation is investigated  and Voronovskaja type theorem is proved. Lastly, some graphical results are given to show the rate of convergence of constructed operators to a given function f.

Author Biographies

Murat Bodur, Ankara University

Ankara University
Faculty of Science
Department of Mathematics
Tandogan 06100, Ankara
TURKEY

Nesibe Manav, Istanbul Gelisim University

Istanbul Gelisim University
Faculty of Economy
Administrative and Social Sciences
Management Information Systems
Istanbul
TURKEY

Fatma Taşdelen, Ankara University

Ankara University
Faculty of Science
Department of Mathematics
Tandogan 06100, Ankara
TURKEY

Published

2022-02-16

Issue

Section

Articles - Other topics