Abstract

In this paper, in order to converge faster to a function being approximated we modify two different Bernstein-Durrmeyer type operators introduced in [5] and [7] such that linear functions are preserved.

Keywords: Positive linear operators; Korovkin-type approximation theorem; Bernstein-Durrmeyer operators.

MSC: 41A35, 47G10

Pages:  259$-$264     

Volume  62 ,  Issue  4 ,  2010