Application of Convex Functions and Jensen Inequality

DOI

10.2991/meici-15.2015.233How to use a DOI?

Keywords

Convex function; Jensen inequality; Integral inequality; Application

Abstract

Functions are the important fundamental concepts in mathematics and the key research object in mathematical analysis. Convex function is a class of very important functions which is widely used in pure mathematics, functional analysis, optimization theory, mathematical economics. This paper firstly introduces a definition of convex function, and then gives properties of convex function and its judging theorem, finally, gives examples which show how to prove more complex inequalities using Jensen inequality of discrete form.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Hua Zhong
AU  - Xuemei Yang
AU  - Wusheng Wang
PY  - 2015/06
DA  - 2015/06
TI  - Application of Convex Functions and Jensen Inequality
BT  - Proceedings of the 2015 International Conference on Management, Education, Information and Control
PB  - Atlantis Press
SP  - 1321
EP  - 1324
SN  - 1951-6851
UR  - https://doi.org/10.2991/meici-15.2015.233
DO  - 10.2991/meici-15.2015.233
ID  - Zhong2015/06
ER  -