BernsteinPolynomial Class Reference

class of Bernstein polynomials More...

#include <ql/math/bernsteinpolynomial.hpp>

List of all members.

Static Public Member Functions

static Real get (Natural i, Natural n, Real x)


Detailed Description

class of Bernstein polynomials

see definition:

Weisstein, Eric W. "Bernstein Polynomial." From MathWorld--A Wolfram Web Resource. <http://mathworld.wolfram.com/BernsteinPolynomial.html>

The Bernstein polynomials $ B_{i,n}(x) $ are defined as

\[ B_{i,n}(x) \equiv \left( \begin{array}{c} n \\ i \end{array} \right) x^i (1-x)^{n-i} \]