Apply the inequality to and , then integrate.
Hello!
I have the following problem:
Let be a differentiable function with increasing derivative. And let be a finite measure space such that .
Prove: bounded and measurable then the following holds
The hint is to use the fact that lies above any of its tangent lines.
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Since is increasing it is easy to prove that . I tried to use it in the following way - but without result:
What am I missing?