Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information, and ...

A real valued function f defined on a real interval I is called (ε,δ)-convex if it satisfies f(tx+(1-t)y)≤ tf(x)+(1-t)f(y)+ε t(1-t)|x-y|+δ for x,y∈ I,t∈ [0,1]. The main results of the paper offer ...

Proceedings of the American Mathematical Society, Vol. 108, No. 1 (Jan., 1990), pp. 117-126 (10 pages) Let Γ(X) denote the proper, lower semicontinuous, convex functions on a normed linear space, and ...

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

James Chen, CMT is an expert trader, investment adviser, and global market strategist. Somer G. Anderson is CPA, doctor of accounting, and an accounting and finance professor who has been working in ...