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Math Forum » Discussions » sci.math.* » sci.math.num-analysis.independent

Topic: Asymptotic expansion and norms
Replies: 1   Last Post: Dec 10, 1996 3:00 AM

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Rene Aid

Posts: 1
Registered: 12/15/04
Asymptotic expansion and norms
Posted: Dec 8, 1996 10:53 AM
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Does anyone know where I can find theorem on the composition
of asymptotic expansion of vector valued functions and norms
of these fonctions ?

Typically, I want to know wether this proposition holds :

if f(e,x) = f_0(x) + f_1(x) e + ... + O(e^p)
then || f(e,x) || = || f_0(x) || + G_1(x) e + ... + O(e^p),
for any good norm.

Thanks,

Rene Aid
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