[分析] Convex Function

[a19850407 (猴塞雷)]

1.If f is a continuous real function defined in (a,b) such that
f[(a+b)/2]小於等於[f(a)+f(b)]/2 for all a,b屬於(a,b).
Prove that f is convex.
2.Let f have a second derative at each point of (a,b).
Then f is convex on (a,b) if and only if f"(x)大於等於0 for each x屬於(a,b).

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