Huan-nan Shi. Schur-Convex Functions and Inequalities: Volume 1: Concepts, Properties, and Applications in Symmetric Function Inequalities

Berlin: de Gruyter, 2019. — 236 p.This two-volume work introduces the theory and applications of Schur-convex functions. The first volume introduces concepts and properties of Schur-convex functions, including Schur-geometrically convex functions, Schur-harmonically convex functions, Schur-power convex functions, etc. and also discusses applications of Schur-convex functions in symmetric function inequalities.Preface
Introduction
Acknowledgment
Notation and symbols
Majorization
Definitions and properties of Schur-convex functions
Schur-convex functions and elementary symmetric function inequalities
Schur-convex functions and other symmetric function inequalities
Bibliography
Index