PROCEDURES TO BUILD SOME INEQUALITY PROBLEMS FROM BASIC CONVEX FUNCTIONS

Abstract

In this paper, we propose two processes using convex functions to build some familiar inequalities in high schools. The first process is the technique of building inequalities from the convex function, while the second one is building inequalities with equation conditions. There can possibly be plenty and diverse system of exercises created on this topic with these two techniques. Moreover, adequate understanding these two creative mathematical processes will help teachers orient the solution method for students more effectively, thereby helping them to have a better teaching method about this topic, and improve training quality.

DOI: https://doi.org/10.52714/dthu.11.4.2022.964