Iosif Pinelis published the paper “Rosenthal-Type Inequalities for Martingales in 2-Smooth Banach Spaces, in Theory of Probability & Its Applications,” Volume 59, Issue 4, 699-706. The abstract of the paper is available here.
Professor Iosif Pinelis (Math) published Exact Upper and Lower Bounds on The Difference Between The Arithmetic and Geometric Means, on Cambridge Journals Online Bulletin of the Australian Mathematical Society, first view;
You can read the paper.