Let w(x) > 0 for a (a) Prove that defines a norm on C°[«. h ]. called

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Let w(x) > 0 for a (a) Prove that

defines a norm on C°[«. h ]. called the weighted L1 norm.
(b) Do the same for the weighted Lˆž norm
||f||ˆž.u, = max{|f(x)| w(x) ; a ‰¤ x ‰¤ h }.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 08:38 AM

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Let w(x) > 0 for a (a) Prove that defines a norm on C°[«. h ]. called

Question:

Ifli = If (x)| w(x) dx %3D

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a Positivity follows since the ...View the full answer

Applied Linear Algebra

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