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Convex analysis : theory and applications

Author: G G Magaril-Ilʹyaev; V M Tikhomirov
Publisher: Providence, R.I. : American Mathematical Society, ©2003.
Series: Translations of mathematical monographs, v. 222.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Presents an introduction to convex analysis and some of its applications. This work starts with basic theory, which is explained within the framework of finite-dimensional spaces. It presents some  Read more...

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Document Type: Book
All Authors / Contributors: G G Magaril-Ilʹyaev; V M Tikhomirov
ISBN: 0821835254 9780821835258
OCLC Number: 53091316
Description: viii, 183 pages : illustrations ; 27 cm.
Contents: Ch. 1. Theory --
1. Basic definitions --
2. Duality in convex analysis --
3. Convex calculus --
4. Finite-dimensional convex geometry --
5. Convex extremal problems --
6. Supplement: Convex analysis in vector spaces --
Ch. 2. Applications --
7. Convex analysis of subspaces and cones and the theory of linear equations and inequalities --
8. Classical inequalities, problems of geometry and mechanics --
9. Kolmogorov-type inequalities for derivatives --
10. Convex analysis and extremal problems of approximation and recovery --
Ch. 3. Appendix --
11. Basic theorems of convex analysis --
12. Supplementary topics of convex analysis --
13. Convex analysis and the theory of extremum.
Series Title: Translations of mathematical monographs, v. 222.
Other Titles: Vypuklyĭ analiz teorii︠a︡ i prilozhenii︠a︡.
Responsibility: G.G. Magaril-Ilʹyaev, V.M. Tikhomirov ; translated by Dmitry Chibisov.

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