- #1
akerman
- 27
- 0
I have been given this question and I have no idea how to answer it. I know that the answer will contain two small proofs where one of them uses quadrature formulae.
So I have been ask to show Show it holds that $\omega_j=\omega_{n-j}$ and that $\sum_j{\omega_j}=(b-a)$. Knowing that Newton cotes formulae is in the equi spaced points $x_i=a+ih$ with $h=(b-a)/n$ and $i=0,\dots,n$
Any idea how to properly solve this?
So I have been ask to show Show it holds that $\omega_j=\omega_{n-j}$ and that $\sum_j{\omega_j}=(b-a)$. Knowing that Newton cotes formulae is in the equi spaced points $x_i=a+ih$ with $h=(b-a)/n$ and $i=0,\dots,n$
Any idea how to properly solve this?