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Inner / Linear Product : Polynomial Space

In a polynomial space of degree {see attachment} is (p,q)=p(0)q(0)+Ap(1/2)q(1/2)+Bp(1)q(1) for A,B>0. Define the linear product.


Solution Summary

A linear product is found for a polynomial space. The solution is detailed and well presented. The response received a rating of "5" from the student who posted the question.