Randomness and Differentiability of Convex Functions

被引：1

作者：

Galicki, Alex ^{[1
]}

机构：

[1] Univ Auckland, Dept Comp Sci, Auckland 1, New Zealand

来源：

EVOLVING COMPUTABILITY | 2015年 / 9136卷

关键词：

D O I：

10.1007/978-3-319-20028-6_20

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We study first and second derivatives of computable convex functions on R-n. The main result of the paper is an effective form of Aleksandrov's Theorem: we show that computable randomness implies twice-differentiability of computable convex functions.

引用

页码：196 / 205

页数：10

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