TITLE: Books/References for Inequalities that take advantage of orders
QUESTION [8 upvotes]: Are there any good references/papers/books that specifically address inequalities that take advantage of orders or monotonicity? I have already browsed through the classical Cauchy-Schwarz Master Class by Steele as well as Inequalities by Hardy, Littlewood, and Polya, and while they were amazing books, I wanted to dive deeper. Thank you very much!!

REPLY [5 votes]: There is also Barry Arnold's Majorization and the Lorenz Order: A Brief Introduction published in the Springer Lectures in Statistics series.