# Bernstein polynomial of a function

• Mar 13th 2011, 09:53 AM
doug
Bernstein polynomial of a function
Let be $f: \: [o,\pi]\rightarrow\mathbb R$ $x\rightarrow \sin x$
Calculate the Bernstein polynomial of degree n and degree 2 of the f function.

Any help would be appreciated!
• Mar 13th 2011, 11:01 AM
girdav
Use $\sin x=\frac{e^{ix}-e^{-ix}}{2i}$ and binomial theorem.
• Mar 13th 2011, 11:19 AM
HallsofIvy
Quote:

Originally Posted by girdav;QUOTE629051
Use $\sin x=\frac{e^{ix}-e^{-ix}}{2i}$ and binomial theorem.

Correcting girdav's LaTex.