Rate of approximation for certain Durrmeyer operators


In the present note, we study a certain Durrmeyer type integral modification of Bernstein polynomials. We investigate simultaneous approximation and estimate the rate of convergence in simultaneous approximation.


School of Applied Sciences, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi 110075, India

A. Razmadze Mathematical Institute, Georgian Academy of Science 1, M. Aleksidze St., Tbilisi 0193 Georgia

M. Craciun
Tiberiu Popoviciu Institute of Numerical Analysis (Romanian Academy)


Lebesgue integrable functions, Bernstein polynomials, functions of bounded variation.

Lebesgue integrable functions; Bernstein polynomials; functions of bounded variation.


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Georgian Mathematical Journal

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