hello(Happy)

Let ,by applying this inequality, to every value of,

prove the following,

i believe it's the best place to post this question(Worried)

thanks.

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- January 30th 2010, 10:57 AMRaohinequality proof
hello(Happy)

Let ,by applying this inequality, to every value of,

prove the following,

i believe it's the best place to post this question(Worried)

thanks. - January 30th 2010, 12:14 PMBlack
For each

.

As you combine the inequalities, the right side will cancel out, leaving you with

.

Divide by to get the result.

- January 30th 2010, 12:29 PMRaoh
would you please show me your steps,i don't get you.(Worried)

- January 30th 2010, 01:31 PMBlack
We have the inequality for nonnegative . So using we have the left side of the inequality:

and the right side:

.

There are of these inequalities since . We add the inequalities together. For the left side, we will have

and the right side:

,

so

Divide both sides by to finish the proof. - January 30th 2010, 01:35 PMRaoh