Let fa(x) = a. where ||||2 denotes the L2 norm on (- ,) (b) ||fa|| = a

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Let fa(x) =
Let fa(x) =a.where ||ˆ™||2 denotes the L2 norm on (-

a.

Let fa(x) =a.where ||ˆ™||2 denotes the L2 norm on (-

where ||ˆ™||2 denotes the L2 norm on (- ˆž,ˆž)
(b) ||fa||ˆž = ˆša , where ||ˆ™|| denotes the Lˆž norm on (- ˆž, ˆž).
(c) Use this example to explain why having a small least squares error does not necessarily mean that the functions are everywhere close.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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