Article ID Journal Published Year Pages File Type
4617968 Journal of Mathematical Analysis and Applications 2012 5 Pages PDF
Abstract

In this paper we study the asymptotic behavior of the classical Bernstein operators, applied to q-times continuously differentiable functions. Our main results extend the results of S.N. Bernstein and R.G. Mamedov for all q-odd natural numbers and thus generalize the theorem of E.V. Voronovskaja. The exact degree of approximation is also proved.

Related Topics
Physical Sciences and Engineering Mathematics Analysis