Desigualdade envolvendo funções convexas à direita e funções côncavas à esquerda

Abstract

Mathematics is seen by many students as an insurmountable obstacle. However, frequently, the problem is not the content taught in school, but in the way these contents are taught by many of the teachers. Therefore, the need arises to rescue their origin, or rather, the demonstration of rules and formulas. Inequalities in particular those involving right convex functions and left concave functions deserve attention because they involve sequences of mathematical procedures to be demonstrated, even if each step to be shown, in principle, is not very complex. Thus, these inequalities serve to exemplify the apparently simple theorems of statements that require certain precautions, such as mathematical reasoning sequences, and prior knowledge. The main objective of this work is to strictly, the important numerical inequalities through the right convex functions and left concave functions