i try to solve this problem:
Let be a partition of [a,b]. and let with for some . Show that every solution of must be a spline of degree 1.
Do you have a idea, how i can solve this?
It is obvious, that there is a 1 Spline in V (the only one).
Now we have to show that any other element in V is greater than this 1-spline. But how can i do this?