This is a guide to some recent work in the theory of martingale inequalities. Methods are simplified; some new proofs are given. A number of new results are also included. Journal Information The ...

In this paper, the inequalities for the weighted mean of r-convex functions are established. As applications, inequalities between the two-parameter mean of an r-convex function and extended mean ...

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