Convex analysis : theory and applications

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Convex analysis : theory and applications / G.G. Magaril-Ilʹyaev, V.M. Tikhomirov ; translated by Dmitry Chibisov

資料種別:

図書

出版情報:

Providence, R.I. : American Mathematical Society, c2003

形態:

viii, 183 p. ; 22 cm

シリーズ名:

Translations of mathematical monographs ; v. 222 <BA00080309>

著者名:

ISBN:

9780821835258 [0821835254]

書誌ID:

BA64500889

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

その他の標題:

Выпуклый анализ : теория и приложения
Vypuklyĭ analiz : teorii︠a︡ i prilozhenii︠a︡

注記:

Includes bibliographical references and index

言語:

英語

目次情報:

Preface

Introduction

Theory / Chapter 1.：

Basic definitions / 1.：

Duality in convex analysis / 2.：

Convex calculus / 3.：

Finite-dimensional convex geometry / 4.：

Convex extremal problems / 5.：

Supplement: Convex analysis in vector spaces / 6.：

Applications / Chapter 2.：

Convex analysis of subspaces and cones and the theory of linear equations and inequalities / 7.：

Classical inequalities, problems of geometry and mechanics / 8.：

Kolmogorov-type inequalities for derivatives / 9.：

Convex analysis and extremal problems of approximation and recovery / 10.：

Appendix / Chapter 3.：

Basic theorems of convex analysis / 11.：

Supplementary topics of convex analysis / 12.：

Convex analysis and the theory of extremum / 13.：

Bibliography

Index

Preface

Introduction

Theory / Chapter 1.：

Basic definitions / 1.：

Duality in convex analysis / 2.：

Convex calculus / 3.：

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