Volume 31, Issue 2
Approximation by Complex Baskakov-Szász-Durrmeyer Operators in Compact Disks

Anal. Theory Appl., 31 (2015), pp. 207-220.

Published online: 2017-04

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• 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 $[0,∞)$.

• Keywords

Complex Baskakov-Szász-Durrmeyer operators, Voronovskaja type result, exact order of approximation in compact disks, simultaneous approximation.

• AMS Subject Headings

30E10, 41A25, 41A28

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@Article{ATA-31-207, author = {}, title = {Approximation by Complex Baskakov-Szász-Durrmeyer Operators in Compact Disks}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {31}, number = {2}, pages = {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 $[0,∞)$.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2015.v31.n2.9}, url = {http://global-sci.org/intro/article_detail/ata/4634.html} }
TY - JOUR T1 - Approximation by Complex Baskakov-Szász-Durrmeyer Operators in Compact Disks 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 -

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 $[0,∞)$.

S. G. Gal & V. Gupta. (1970). Approximation by Complex Baskakov-Szász-Durrmeyer Operators in Compact Disks. Analysis in Theory and Applications. 31 (2). 207-220. doi:10.4208/ata.2015.v31.n2.9
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