On complex modified Bernstein-Stancu operators

Nursel Çetin

doi:10.3934/mfc.2021043

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2023, Volume 6, Issue 1: 63-77. Doi: 10.3934/mfc.2021043

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On complex modified Bernstein-Stancu operators

Nursel Çetin

Ankara Hacı Bayram Veli University, Polatlı Faculty of Science and Letters, Department of Mathematics, 06900, Ankara, Turkey

Received: August 2021

Revised: November 2021

Early access: January 2022

Published: February 2023

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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.

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Mathematics Subject Classification: Primary: 30E10, 41A25; Secondary: 41A28, 41A35.

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References

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