A weighted version of the inner product given in Example 3is defined as follows: For
Chapter 10, Problem 53(choose chapter or problem)
A weighted version of the inner product given in Example 3is defined as follows: For p(x) and q(x) in Pn and distinct realnumbers x0, x1, ... , xn, letp, q = t(x0)p(x0)q(x0) ++ t(xn)p(xn)q(xn)where t(x) takes positive values on x0, ... , xn. Show that p, qis an inner product on Pn.
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