Article ID Journal Published Year Pages File Type
4608286 Journal of Approximation Theory 2007 5 Pages PDF
Abstract

The well-known fact that () of the sequence of Bernstein polynomials of a bounded function is bounded above (below) by the average value of the two upper (lower) limits of the function is supplemented with the following derived version: () of the sequence of derived Bernstein polynomials is bounded above (below) by the average value of the two upper (lower) Dini derivatives.

Related Topics
Physical Sciences and Engineering Mathematics Analysis