推 herstein :Jensen 03/22 20:22
推 jacky7987 :一個convex 一個concave 03/22 23:02
推 yuyumagic424:凹凸有致 03/23 14:55
→ BA0954016 :謝謝提示!!了解了! 03/24 00:55
想請教實變高手教我下面兩題實變題目:
1.Let f be integrable over [0,1]. Show that
exp[∫f(x)dx ]< = ∫exp(f(x))dx.
2.Let g be a positive measurable function on [0,1].
Show that
log(∫g(x)dx)> = ∫log (g(x))dx
whenever each side is defined.
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