Question: =+9. If f(x) is a nondecreasing function on the interval [a, b], then show that g(x) = x a f(y) dy is a convex
=+9. If f(x) is a nondecreasing function on the interval [a, b], then show that g(x) = x a f(y) dy is a convex function on [a, b].
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