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

作　　者：Sorin G.Gal Vijay Gupta 

机构地区：[1]Department of Mathematics and Computer Science, University of Oradea [2]Department of Mathematics, Netaji Subhas Institute of Technology

出　　处：《Analysis in Theory and Applications》2015年第2期207-220,共14页分析理论与应用（英文刊）

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,∞）.

关 键 词：Complex Baskakov-Szzsz-Durrmeyer operators Voronovskaja type result exact or-der of approximation in compact disks simultaneous approximation. 

分 类 号：O177[理学—数学]