Approximation by Complex Baskakov-Szasz-Durrmeyer Operators in Compact Disks
Sorin G. Gal, Vijay Gupta
TL;DR
This paper investigates the approximation properties of complex Baskakov-Szasz-Durrmeyer operators within compact disks, providing Voronovskaja-type results, quantitative estimates, and the exact order of approximation for analytic functions of exponential growth.
Contribution
It introduces new complex Baskakov-Szasz-Durrmeyer operators and derives their approximation behavior without relying on real-axis values.
Findings
Voronovskaja-type asymptotic results established
Quantitative estimates for approximation accuracy derived
Exact order of approximation determined
Abstract
In this paper, we deal with the complex Baskakov-Szasz-Durrmeyer mixed operators and study Voronovskaja type results with quantitative estimates for these operators attached to analytic functions of exponential growth in the open disk of radius R. Also, the exact order of approximation is found. The method used allows to construct complex Szasz-type and Baskakov-type approximation operators without involving the values on the positive real axis.
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