Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Help me please to prove the following inequality

For $x,y>1, x \neq y$. $$ \frac{1}{\Gamma(x)\Gamma(y)}\leq 2\sqrt{2\pi}\frac{\sqrt{x+y}}{\Gamma(x+y)}. $$

Thank you.

share|improve this question
The inequality does not hold, just try it for $x=3,y=3$. –  Mhenni Benghorbal Nov 7 '12 at 5:11
Sorry, I forgot condition that $ x \neq y$. –  user202312 Nov 7 '12 at 15:44
Nevertheless, the inequality does not hold. (Did you even try to check it on some simple values of $x$ and $y$?) –  Did Nov 7 '12 at 16:20
en.wikipedia.org/wiki/Beta_function –  JavaMan Nov 7 '12 at 16:39
add comment

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.