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 May 4th, 2009, 11:16 PM #1 Newbie   Joined: May 2009 Posts: 1 Thanks: 0 integrals Hi. This is my first post. I was trying to solve it, but i can`t. I hope that you can help me. The excersice is: Compute $min_{a,b,c}\displaystyle\int_{-1}^{1}\left |{x^3-a-bx-cx^2}\right |^2dx$ and find $max\displaystyle\int_{-1}^{1}x^3g(x)dx$ where $g$ is subject to the restrictions $\displaystyle\int_{-1}^{1}g(x)dx=\displaystyle\int_{-1}^{1}xg(x)dx=\displaystyle\int_{-1}^{1}x^2g(x)dx$ and $\displaystyle\int_{-1}^{1}\left |{g(x)}\right |^2dx=1$. Also, $g$ is a complex valued function on the real interval [-1,1]. This is a problem of the book "Real and complex analisys" , Rudin, and is from my course of normed and Hilbert spaces Can you help me? Thanks

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