a. Let w(t) be a positive-valued function in C[a, b]t where b > a. Verify that the rule
Chapter 5, Problem 33(choose chapter or problem)
a. Let w(t) be a positive-valued function in C[a, b]t where b > a. Verify that the rule (/, g) = w(t)f(t)g(t)dt defines an inner product on C[a, b]. b. If we chose the weight function w(t) so that w(t)dt = 1, what is the norm of the constant function /(f) = 1 in this inner product space?
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