Inequalities

Front Cover
This is a study of the inequalities used throughout mathematics. First published in 1934, it presents both the statement and proof of all the standard inequalities of analysis. Table of Contents - 1. Introduction; 2. Elementary mean values; 3. Mean values with an arbitrary function and the theory of convex functions; 4. Various applications of the calculus; 5. Infinite series; 6. Integrals; 7. Some applications of the calculus of variations; 8. Some theorems concerning bilinear and multilinear forms; 9. Hilbert's inequality and its analogues and extensions; 10. Rearrangements; Appendices; Bibliography.
 

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Contents

INTRODUCTION
1
ELEMENTARY MEAN VALUES
12
MEAN VALUES WITH AN ARBITRARY
65
107110
111
INTEGRALS
126
SOME APPLICATIONS OF
172
SOME THEOREMS CONCERNING
196
HILBERTS INEQUALITY AND
227
On Hilberts inequality
308
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