Georgian Mathematical Journal 13 (2006), No. 2, 277--284
Copyright Heldermann Verlag 2006
Rate of Approximation for Certain Durrmeyer Operators
Vijay Gupta
School of Applied Sciences, Netaji Subhas Inst. of Technology, Sector 3 Dwarka, New Delhi 110075, India
vijaygupta2001@hotmail.com
Tengiz Shervashidze
A. Razmadze Mathematical Institute, 1 M. Aleksidze Street, Tbilisi 0193, Georgia
sher@rmi.acnet.ge
Maria Craciun
T. Popoviciu Inst. of Numerical Analysis, P. O. Box 68-1, 3400 Cluj-Napoca, Romania
craciun@ictp.acad.ro
We study a certain Durrmeyer type integral modification of Bernstein polynomials. We investigate simultaneous approximation and estimate the rate of convergence in simultaneous approximation.
Keywords: Lebesgue integrable functions, Bernstein polynomials, functions of bounded variation.
MSC: 41A30, 41A36
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