I am supposed to prove that for all real numbers that I've only gotten up to this point which is where I am not sure as to how to appply the cauchy schwarz inequality, Am I on the right track?
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Also, I am assuming inner product is defined as such: because if this is the case, everything works out just fine.
Last edited by dwsmith; Jun 26th 2010 at 12:47 PM.
It does not specify the inner product. I have posted all the information that was given to me.
Originally Posted by Jukodan It does not specify the inner product. I have posted all the information that was given to me. Try finishing the problem with that inner product in mind and you will have your problem completed.
Originally Posted by Jukodan I am supposed to prove that for all real numbers that Note the minus. So we get Notice that
Spoiler:
Ah-ha!
Originally Posted by Jukodan I am supposed to prove that for all real numbers that I've only gotten up to this point which is where I am not sure as to how to appply the cauchy schwarz inequality, Am I on the right track? The C–S inequality says that . Apply that with , , , . Then square both sides.
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