Inequalities

Introduction

Elementary mean values

Mean values with an arbitrary function and the theory of convex functions

Various applications of the calculus

Infinite series

Integrals

Some applications of the calculus of variations

Some theorems concerning bilinear and multilinear forms

Hilbert's inequality and its analogues and extensions

Rearrangements

App. I. On strictly positive forms

App. II. Thorin's proof and extension of Theorem 295

App. III. On Hilbert's inequality.