ON COMPLEX MODIFIED BERNSTEIN-STANCU OPERATORS
MATHEMATICAL FOUNDATIONS OF COMPUTING, 2022 (ESCI)
- 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 (ESCI)
- Keywords: Perturbed Bernstein operator, complex Bernstein-Stancu operator, quantitative estimates, simultaneous approximation, equivalence
- Open Archive Collection: AVESIS Open Access Collection
- Ankara Haci Bayram Veli University Affiliated: Yes
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.