Math Is Fun Forum

onako

Member

Registered: 2010-03-28

Posts: 43

Proving the ineqautity involving summation

Suppose the following relation holds

Can it be shown that the equivalence (if and only if) holds for

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Proving the ineqautity involving summation

Hi onako;

I would not think so. Supposing

and the b_i are

then

holds, but this

does not.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

onako

Member

Registered: 2010-03-28

Posts: 43

Re: Proving the ineqautity involving summation

I apologize for not making it precise.
All the elements

and

Perhaps this changes the conclusion.

Last edited by onako (2012-02-27 04:34:16)

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Proving the ineqautity involving summation

Hi onako;

I think it does. I am trying Cauchy Schwarz on it but not getting anywhere fast.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.