This course discusses basic convex analysis (convex sets, functions, and optimization problems), optimization theory (linear, quadratic, semidefinite, and geometric programming; optimality conditions ...

Convex geometry and point set configurations form a pivotal area of research in computational geometry, where the primary focus is the study of convex sets and the intricate arrangements of points in ...

Abstract. In this paper we show that every sufficiently large family of convex bodies in the plane has a large subfamily in convex position provided that the number of common tangents of each pair of ...

For k ≥ 0, 0 ≤ γ ≤ 1, and some convolution operator g, the object of this paper is to introduce a generalized family T U p n ( g,γ,k,b,α ) of p-valently analytic functions of complex order b ∈ ℂ \ {0} ...