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 ...

In this paper, we defined and studied the concept of exponential type multiplicatively convex functions and some of their algebraic properties. We derived Hermite-Hadamard inequalities for this class ...

Abstract: Ensuring the safety of dynamical systems is crucial, where collision avoidance is a primary concern. Recently, control barrier functions (CBFs) have emerged as an effective method to ...

Abstract: The recently developed approach to motion planning in graphs of convex sets (GCS) provides an efficient framework for computing shortest-distance collision-free paths using convex ...