This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and lucidly both the statement and proof of all the standard inequalities of analysis. The authors were well-known for their powers of exposition and made this subject accessible to a wide audience of mathematicians.
This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and lucidly both the statement and proof of all the standard inequalities of analysis. The authors were well-known for their powers of exposition and made this subject accessible to a wide audience of mathematicians.
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.
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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