c*******d 发帖数: 255 | 1 f(x)满足: 任取定义域内的x1, x2,有
f(x1/2+x2/2)<=f(x1)/2+f(x2)/2
求证f是凸函数或给一个满足条件但不是凸函数的反例。 | s***g 发帖数: 495 | 2 @BOOK{artin64,
author = "Emil Artin",
title = "The {G}amma Function",
publisher = "Holt, Rinehart and Winston, Inc.",
address = "New York, NY",
year = "1964",
}
【在 c*******d 的大作中提到】 : f(x)满足: 任取定义域内的x1, x2,有 : f(x1/2+x2/2)<=f(x1)/2+f(x2)/2 : 求证f是凸函数或给一个满足条件但不是凸函数的反例。
| s*******h 发帖数: 11 | 3 constant function is convex |
|