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 ...

The authors discover a new interesting generalized identity concerning differentiable functions via k–fractional integrals. By using the obtained dentity as an auxiliary result, some new estimates ...

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