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Approximation by Complex Baskakov-Szsz-Durrmeyer Operators in Compact Disks

Approximation by Complex Baskakov-Szsz-Durrmeyer Operators in Compact Disks
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摘要 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 DR = {z ∈ C; |z| 〈 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 [0,∞). 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 DR = {z ∈ C; |z| 〈 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 [0,∞).
出处 《Analysis in Theory and Applications》 CSCD 2015年第2期207-220,共14页 分析理论与应用(英文刊)
关键词 Complex Baskakov-Szzsz-Durrmeyer operators Voronovskaja type result exact or-der of approximation in compact disks simultaneous approximation. Complex Baskakov-Szzsz-Durrmeyer operators, Voronovskaja type result, exact or-der of approximation in compact disks, simultaneous approximation.
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