Approximation Properties of Generalized lambda-Bernstein-Stancu-Type Operators

Cai Q., Torun G., DİNLEMEZ KANTAR Ü.

JOURNAL OF MATHEMATICS, vol.2021, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2021
  • Publication Date: 2021
  • Doi Number: 10.1155/2021/5590439
  • Journal Name: JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Gazi University Affiliated: Yes

Abstract

The present study introduces generalized lambda-Bernstein-Stancu-type operators with shifted knots. A Korovkin-type approximation theorem is given, and the rate of convergence of these types of operators is obtained for Lipschitz-type functions. Then, a Voronovskaja-type theorem was given for the asymptotic behavior for these operators. Finally, numerical examples and their graphs were given to demonstrate the convergence of G(m,lambda)(alpha,beta) (f, x) to f(x) with respect to m values.