Analytic inequalities

Kazarinoff N.

Table of contents :
Title Page……Page 1
Preface……Page 3
Contents……Page 5
1. The algebra of inequalities……Page 6
2. Conditional inequalities……Page 11
3. Geometric and arithmetic means……Page 20
4. An application……Page 26
5. The Isoperimetric Theorem……Page 32
6. The number e……Page 40
7. Examples from the calculus……Page 47
8. Approximation by polynomials……Page 53
9. Power means……Page 68
10. The Cauchy, Bunyakovskn,Holder, and Minkowski Inequalities……Page 72
Miscellaneous problems……Page 82
Index……Page 91