| Course Description : | Classical inequalities: convex functions, Jensen’s inequality, Young’s inequality, Holder’s inequality, Minkowski’s inequality, inequalities related to Cauchy-Schwarz inequality, Kantorovich’s inequality, means: classical means, weighted means, applications, bounds for the zeros of polynomials: location of the zeros of polynomials, classical bounds, Cauchy’s bound, Montel’s bound, Carmichael-Mason’s bound, Kakeya’s bound, Kojima’s bound, bounds from matrix inequalities, recent bounds, noncommutative inequalities for matrices, miscellaneous bounds. |