Approximation Theorems for Complex α-Bernstein-Kantorovich Operators

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Kara M., Mahmudov N. I.

RESULTS IN MATHEMATICS, vol.79, no.2, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 79 Issue: 2
  • Publication Date: 2024
  • Doi Number: 10.1007/s00025-023-02101-3
  • Journal Name: RESULTS IN MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

In this paper, we introduce the complex form of alpha-Bernstein-Kantorovich operators. Respectively, upper quantitative estimates for the complex alpha-Bernstein-Kantorovich operator and its derivatives, Voronovskaya type result and the exact order of approximation of these operators are studied.