Consider the functions f(x) = 1 and g(x) = x - 3/4 as elements of the vector

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Consider the functions f(x) = 1 and g(x) = x - 3/4 as elements of the vector space C°[0, 1]. For each of the indicated norms, compute ||f||, ||g||, ||f + g||. and verify the triangle inequality:
(a) The L1 norm
(b) The L2 norm
(c) The L∞ norm
(d) The L∞ norm
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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