Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (4): 1157-1165.doi: 10.1016/S0252-9602(14)60076-X

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APPROXIMATION BY COMPLEX SZ´ASZ-DURRMEYER OPERATORS IN COMPACT DISKS

Sorin G. GAL|Vijay GUPTA*   

  1. Department of Mathematics and Computer Science, University of Oradea Str. Universitatii No. 1, 410087 Oradea, Romania; Department of Mathematics, Netaji Subhas Institute of Technology Sector 3 Dwarka, New Delhi-110078, India
  • Received:2013-03-25 Revised:2013-12-09 Online:2014-07-20 Published:2014-07-20
  • Contact: Vijay GUPTA,vijaygupta2001@hotmail.com E-mail:galso@uoradea.ro;vijaygupta2001@hotmail.com

Abstract:

In the present paper, we deal with the complex Sz´asz-Durrmeyer operators and study Voronovskaja type results with quantitative estimates for these operators attached to analytic functions of exponential growth on compact disks. Also, the exact order of approximation is found.

Key words: complex Sz´asz-Durrmeyer operators, Voronovksaja type result, exact order of approximation in compact disks, simultaneous approximation

CLC Number: 

  • 41A25
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