Banca de DEFESA: RAUL ALBUQUERQUE MOURA E BRAGA

Mathematical Inequalities: historical aspects and Olympic applications.

Cauchy-Schwarz Inequality; AM-GM Inequality; Nesbitt Inequality; Schur Inequality; Jensen Inequality.

The goal of this work, which is based on [2], is to address various classical mathe[1]matical inequalities. This is achieved through two approaches: firstly, by studying the historical development of these inequalities, exploring unconventional proofs, and examining their applications in mathematics Olympiads worldwide, where an original solution is presented for one of the problems considered.