ON COMPLEX MODIFIED BERNSTEIN-STANCU OPERATORS


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ÇETİN N.

MATHEMATICAL FOUNDATIONS OF COMPUTING, 2022 (Peer-Reviewed Journal) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.3934/mfc.2021043
  • Journal Name: MATHEMATICAL FOUNDATIONS OF COMPUTING
  • Journal Indexes: Emerging Sources Citation Index
  • Keywords: Perturbed Bernstein operator, complex Bernstein-Stancu operator, quantitative estimates, simultaneous approximation, equivalence

Abstract

The present paper deals with complex form of a generalization of perturbed Bernstein-type operators. Quantitative upper estimates for simultaneous approximation, a qualitative Voronovskaja type result and the exact order of approximation by these operators attached to functions analytic in a disk centered at the origin with radius greater than 1 are obtained in this study.