* Problem*: If and are positive real numbers such that, , prove that,

.

* Solution*:

… (i)

Now

… (ii)

From (i) & (ii) we get to prove

[ as ]

Now this follows directly from the given condition .

* Problem*: If and are positive real numbers such that, , prove that,

.

* Solution*:

… (i)

Now

… (ii)

From (i) & (ii) we get to prove

[ as ]

Now this follows directly from the given condition .