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Lie derivatives and Lipschitz contants

by barzi2001
Tags: contants, derivatives, lipschitz
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barzi2001
#1
Jan29-13, 07:05 AM
P: 9
Hello all,

I have a problem with an inequality.
Let



Is the following proof valid?



from which, taking the norm to both sides yields



where L is the Lipschitz constant of f w.r.t. x.
Thus, can I conclude that




Is it correct?

Thanks :)
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