函数的凸性及其应用

函数的凸性及其应用

摘要

凸性是1种重要的几何性质，凸函数是1类具有特殊性质的函数，本文主要是通过凸函数的1些定义关键词：凸函数;凸集;凸性

Convexity of function and its application

ABSTRACT

Convexity is an important geometric property. The convex function is a kind of function with special properties.

This paper mainly talks about the application of convexity in proving inequalities and multivariable convex

function and in finding the best answer with its definition of convex function and theories and so on. This paper

introduces the definition of convex function by the aid of convex set, and, introduces some foundational properties

of the convex function, and concludes some properties and theories of trick convex function. And then, those

properties are important in proving inequalities because they can give the simpler ways, the reader can get benefits

from the examples in the second part of this paper.

Key words convex function; convexity; convex set