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