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 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 ...

Stochastic analysis provides a robust framework for studying phenomena where chance and uncertainty play a pivotal role. In the context of random polynomials, these methods enable researchers to ...