Let a\,..., an be distinct real numbers. Show that there exist weights w\,... ,wn such
Chapter 4, Problem 71(choose chapter or problem)
Let a\,..., an be distinct real numbers. Show that there exist weights w\,... ,wn such that/ l f(t)dt = '*Twif(ai) 1 /=!for all polynomials /(/) in Pn-\. Hint: It suffices to prove the claim for a basis f \ ......./ of Pn-\. Exercise 69 is helpful.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer