In this paper, we establish certain comparison inequalities of Bernstein-type for a linear operator between complex polynomials under certain constraints on their zeros. A variety of interesting ...

In this paper, we aim to find ecient solutions of a multi-objective optimization problem over a linear matrix inequality (LMI in short), in which the objective functions are SOS-convex polynomials. We ...

A notable study on polynomial inequalities on the Hamming cube has introduced improvements for both scalar and vector-valued functions, utilising contractivity properties of heat flows and ...