Convex analysis : theory and applications /

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Bibliographic Details
Author / Creator:	Magaril-Ilʹyaev, G. G. (Georgii G.), 1944-
Uniform title:	Vypuklyĭ analiz teorii͡a i prilozhenii͡a. English
Imprint:	Providence, R.I. : American Mathematical Society, c2003.
Description:	viii, 183 p. : ill. ; 22 cm.
Language:	English
Series:	Translations of mathematical monographs, 0065-9282 ; v. 222
Subject:	Convex geometry. Descrete geometry. Functional analysis. Operator theory. Convex geometry. Discrete geometry. Functional analysis. Operator theory.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/4969104

Hidden Bibliographic Details
Other authors / contributors:	Tikhomirov, V. M. (Vladimir Mikhaĭlovich), 1934-
ISBN:	0821835254 (acid-free paper)
Notes:	Includes bibliographical references (p. 177-180) and index.

Table of Contents:

Preface
Introduction
Chapter 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
Chapter 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
Chapter 3.. Appendix
11.. Basic theorems of convex analysis
12.. Supplementary topics of convex analysis
13.. Convex analysis and the theory of extremum
Bibliography
Index

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