if ϕ convexe and f continue on [a,b] prove that ϕ( (1/(b−a)) ∫_a ^b f(t)dt)≤ (1/(b−a)) ∫


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Question Number 30557 by abdo imad last updated on 23/Feb/18

$i f φ c o n v e x e a n d f c o n t i n u e o n [a, b] p r o v e t h a t$ $φ (\frac{1}{b - a} \int_{a}^{b} f (t) d t) ⩽ \frac{1}{b - a} \int_{a}^{b} φ o f (t) d t .$
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