Year: 2015
Analysis in Theory and Applications, Vol. 31 (2015), Iss. 2 : pp. 207–220
Abstract
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 $\mathbb{D}_R=\{z∈\mathbb{C};|z|<R\}$. 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 $[0,∞)$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2015.v31.n2.9
Analysis in Theory and Applications, Vol. 31 (2015), Iss. 2 : pp. 207–220
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Complex Baskakov-Szász-Durrmeyer operators Voronovskaja type result exact order of approximation in compact disks simultaneous approximation.