Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators
Gupta, V., Verma, D., Agrawal, P. (2012). Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators. EKB Journal Management System, 20(3), 183-187. doi: org/10.1016/j.joems.2012.07.001
Vijay Gupta; D, K. Verma; P. N. Agrawal. "Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators". EKB Journal Management System, 20, 3, 2012, 183-187. doi: org/10.1016/j.joems.2012.07.001
Gupta, V., Verma, D., Agrawal, P. (2012). 'Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators', EKB Journal Management System, 20(3), pp. 183-187. doi: org/10.1016/j.joems.2012.07.001
Gupta, V., Verma, D., Agrawal, P. Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators. EKB Journal Management System, 2012; 20(3): 183-187. doi: org/10.1016/j.joems.2012.07.001

Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators

Journal of the Egyptian Mathematical Society
Volume 20, Issue 3, 2012, Pages 183-187    PDF (310.18 K)
DOI: org/10.1016/j.joems.2012.07.001
Authors
Vijay Gupta* 1; D, K. Verma2; P. N. Agrawal2
1School of Applied Sciences, Netaji Subhash Institute of Technology Sector 3 Dwarka, New Delhi 110 078, India
2Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247 667, India
Abstract
In the present paper, we establish some direct results in simultaneous approximation for Baskakov–Durrmeyer–Stancu (abbr. BDS) operators Dða;bÞ n ðf; xÞ. We establish point-wise convergence, Voronovskaja type asymptotic formula and an error estimate in terms of second order modulus of continuity of the function.
Keywords
BDS operators; Point-wise convergence; Voronovskaja type asymptotic formula; Error estimation; Simultaneous approximation
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