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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 .