Inequalities may seem like no other topic in Mathematics, but in fact, we are confronted with it almost every day -- in things like speed limits, the quota of your monthly mobile data, and the degree ...

In the theory of orthogonal polynomials for weights with noncompact support, much use is made of inequalities relating weighted integrals of polynomials over infinite and finite ranges. Using a short ...

This field investigates the relationships and bounds between various function norms, particularly through inequalities that characterise the smoothness and approximability of functions, as well as the ...

In this paper we study necessary optimality conditions for the problem of minimizing a polynomial function over a set defined by polynomial inequalities. Assume that the problem is bounded below and ...