Four inequalities of my own!
by Potla, Mar 18, 2009, 4:35 PM
1.
(http://www.artofproblemsolving.com/Forum/viewtopic.php?t=254274)
2.
(http://www.artofproblemsolving.com/Forum/viewtopic.php?t=254504)
3.
(http://www.artofproblemsolving.com/Forum/viewtopic.php?p=1439419#1439419)
4.
(http://www.artofproblemsolving.com/Forum/viewtopic.php?p=1439464#1439464)
I made these problems and improved them up to the extent that I could.......
Hope people will enjoy it!
Potla wrote:
Hello, this is my own first inequality which, of course is too loose for words, and also I do not think it worthwhile presenting here! 
But still, here goes:
Prove that for all
, such that 
, we can have:
Please do not laugh at me for such a childish inequality.
But, after all, it is my first one!
But still, here goes:
Prove that for all
, such that 
, we can have:
Please do not laugh at me for such a childish inequality.
But, after all, it is my first one!
2.
Potla wrote:
This is my second inequality, and I have made it as strong as possible. But still it is not strong enough. Here goes;
My 2nd inequality
Hope you will enjoy it (of course, it's easy!)
Here goes;My 2nd inequality
Prove that for 
such that 
,
!!! 
such that 
,
!!! Hope you will enjoy it (of course, it's easy!)
3.
Potla wrote:
Prove that , for all such that 
, we have:
Sorry if it's too big......
such that 
, we have:
Sorry if it's too big......
4.
Potla wrote:
I could not determine where to post this, so I would ask the mods/experienced members where to post this inequality..... I invented this when I read in 7th standard. 
Here goes, for
such that 
, prove that:
Hope you will enjoy it!
[edited]
Here goes, for
such that 
, prove that:
Hope you will enjoy it!
[edited]
I made these problems and improved them up to the extent that I could.......
Hope people will enjoy it!
March 2012
December 2011