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Complex Generalized Stancu-Schurer Operators

  • Nursel Çetin and Nesibe Manav Mutlu EMAIL logo
Published/Copyright: October 15, 2024
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Abstract

In the present study, we determine a Schurer type of complex generalized Stancu operators and examine its some approximation properties. Firstly, we obtain upper quantitative estimates for the convergence and then we get lower estimates from a qualitative Voronovskaja-type result for these specified operators attached to the analytic functions in an open disk centered at the origin. Hence, we present the exact order of simultaneous approximation by using obtained upper and lower estimates.

Acknowledgement

The authors are grateful to the referees for making valuable suggestions, improving the quality of the paper.

  1. Communicated by Tomasz Natkaniec

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Received: 2023-11-25
Accepted: 2024-03-06
Published Online: 2024-10-15
Published in Print: 2024-10-28

© 2024 Mathematical Institute Slovak Academy of Sciences

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