The Properties of Convex Function and its Application

DOI

10.2991/meici-15.2015.231How to use a DOI?

Keywords

Convex function; Hadamard inequality; Proving inequality; Astringency

Abstract

Convex function is a kind of very important function. In the proving inequality, optimization theory, operations research, control theory and other fields of applied mathematics, convex function has many applications. This paper introduces the definition and properties of convex function, and Hadamard inequality; then discusses applications of convex function in proving inequalities and verifying astringency of series.

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  - Lele Fan
AU  - Yixian Lao
AU  - Wusheng Wang
PY  - 2015/06
DA  - 2015/06
TI  - The Properties of Convex Function and its Application
BT  - Proceedings of the 2015 International Conference on Management, Education, Information and Control
PB  - Atlantis Press
SP  - 1308
EP  - 1312
SN  - 1951-6851
UR  - https://doi.org/10.2991/meici-15.2015.231
DO  - 10.2991/meici-15.2015.231
ID  - Fan2015/06
ER  -