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Analysis II

Convex Analysis and Approximation Theory

  • Book
  • © 1990

Overview

Editors:
  1. R. V. Gamkrelidze

    1. Steklov Mathematical Institute, Academy of Sciences of the USSR, Moscow, USSR
      Institute for Scientific Information (VINITI), Moscow, USSR

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Part of the book series: Encyclopaedia of Mathematical Sciences (EMS, volume 14)

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Table of contents (2 chapters)

  1. Front Matter

    Pages i-vii
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  2. Convex Analysis

    • V. M. Tikhomirov
    Pages 1-92

  3. Approximation Theory

    • V. M. Tikkomirov
    Pages 93-243

  4. Back Matter

    Pages 245-258
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Keywords

About this book

Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory. The author discusses the sources of these two trends in mathematical analysis, develops the main concepts and results, and mentions some beautiful theorems. The relationship of convex analysis to optimization problems, to the calculus of variations, to optimal control and to geometry is considered, and the evolution of the ideas underlying approximation theory, from its origins to the present day, is discussed. The book is addressed both to students who want to acquaint themselves with these trends and to lecturers in mathematical analysis, optimization and numerical methods, as well as to researchers in these fields who would like to tackle the topic as a whole and seek inspiration for its further development.

Editors and Affiliations

  • Steklov Mathematical Institute, Academy of Sciences of the USSR, Moscow, USSR

    R. V. Gamkrelidze

  • Institute for Scientific Information (VINITI), Moscow, USSR

    R. V. Gamkrelidze

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