On Complex Modified Genuine Szász-Durrmeyer-Stancu Operators

Year 2019, Volume: 68 Issue: 1, 283 - 298, 01.02.2019

Nursel Çetin

https://doi.org/10.31801/cfsuasmas.415926

Abstract

In this paper, we introduce complex modified genuine Szász-Durrmeyer-Stancu operators to improve the results obtained in [4] and present overconvergence properties of these operators. We obtain some estimates on the rate of convergence, a Voronovskaja-type result and the exact order of approximation for these operators attached to analytic functions of exponential growth on compact disks.

Keywords

Complex genuine Szász-Durrmeyer-Stancu operators, overconvergence, simultaneous approximation, Voronovskaja-type result, exact order of approximation

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