On Complex Modified Genuine Szász-Durrmeyer-Stancu Operators

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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