August 1st, 2017, 10:09 AM  #1 
Newbie Joined: Aug 2017 From: Baltimore Posts: 1 Thanks: 0  Integration inequalities
Trying to prove the following: Let $g(x),l(x),h(x)\geq0$ for all $x\in[a,b]$ with the inequality being strict for at least some $x_1,x_2\in[a,b]$, and let $g$'$(x)$,$l$'$(x)>0$, then $\int_{a}^{b}h(x)g(x)l(x)dx\int_{a}^{b}h(x)dx\int_{a}^{b}h(x)g(x)dx\int_{a}^{b}h(x)l(x)dx>0$ 

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inequalities, integration 
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