1. ## [SOLVED] B-Splines

Let $B_i^k$ be the B-splines of degree k. Then prove
$\sup_{-\infty

I applied the triangle inequality and got
$\sup_{-\infty
Beyond this point I am clueless.

EDIT: It seems like I should be using
$\sum_{i=-\infty}^{\infty} B_i^k(x) = 1\quad \forall x\in\mathbb{R}$

2. Just in case someone looks at this and was wondering the solution.
$
\sup_{-\infty$

Thus,
$
\sup_{-\infty$

which is the desired result.