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-   -   Exercise 2.2 - Requesting Clarification (http://book.caltech.edu/bookforum/showthread.php?t=4685)

ScientistGirl 06-29-2016 07:36 PM

Exercise 2.2 - Requesting Clarification
 
Exercise 2.2 asks to verify the bound of Theorem 2.4 in the three cases of Example 2.2

However,

on (i) it mentions h(x) = sign (x - alpha)

This made me confuse.

The whole question is not clear to me.


Would anyone help? Any tip or reply is appreciated!

MaciekLeks 07-11-2016 03:09 AM

Re: Exercise 2.2 - Requesting Clarification
 
IMHO, there is no need to use the formula h(x)=sign(x-a) (it's just a formula for postive rays) to verify theorem 2.4 because the inequality depends not on a hypothesis but on the growth function.

It's enough to show that the LHS and RHS of the theorem inequality holds. You know growth functions for all the cases.


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