TY - JOUR
T1 - Approximation by Complex Baskakov-Szász-Durrmeyer Operators in Compact Disks
AU - S. G. Gal & V. Gupta
JO - Analysis in Theory and Applications
VL - 2
SP - 207
EP - 220
PY - 2017
DA - 2017/04
SN - 31
DO - http://doi.org/10.4208/ata.2015.v31.n2.9
UR - https://global-sci.org/intro/article_detail/ata/4634.html
KW - Complex  Baskakov-Szász-Durrmeyer operators, Voronovskaja type result, exact order of approximation in compact disks, simultaneous approximation.
AB - <p style="text-align: justify;">In this paper, we deal with the complex Baskakov-Szász-Durrmeyer mixed operators and study Voronovskaja type results with quantitative estimates for these operators attached to analytic functions of exponential growth in $\mathbb{D}_R=\{z∈\mathbb{C};|z|&lt;R\}$. Also, the exact order of approximation is found. The method used allows to construct complex Szász-type and Baskakov-type approximation operators without involving the values on $[0,∞)$.</p>