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Generalized Concavity

Generalized Concavity

Part of Classics in Applied Mathematics

  • Date Published: November 2010
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898718966

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  • Concavity of a function is used as a hypothesis in most of the important theorems concerning extremum problems in mathematical economics, optimization, engineering and management science. Generalized concavity refers to the many nonconcave functions that have properties similar to concave functions. Originally published in 1988, this enduring text presents: a review of concavity and the basics of generalized concavity; applications of generalized concavity to economics; special function forms such as composite forms, products, ratios and quadratic functions; fractional programming; and concave transformable functions.

    • A classic text, just as important today as when it was first published in 1988
    • Accessible as an introduction to the subject for those from diverse disciplines
    • For use by researchers and graduate students in this field
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    Product details

    • Date Published: November 2010
    • format: Paperback
    • isbn: 9780898718966
    • length: 344 pages
    • dimensions: 228 x 152 x 17 mm
    • weight: 0.47kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Preface to the Classics edition
    Preface
    Corrections and comments
    1. Introduction
    2. Concavity
    3. Generalized concavity
    4. Application of generalized concavity to economics
    5. Special functional forms I: composite functions, products, and ratios
    6. Special functional forms II: quadratic functions
    7. Fractional programming
    8. Concave transformable functions
    9. Additional generalizations of concavity
    Supplementary bibliography
    Author index
    Subject index.

  • Authors

    Mordecai Avriel
    Mordecai Avriel is Director of Analytical Development at Bank Hapoalim in Tel Aviv, Israel, and is Professor Emeritus of the Faculty of Industrial Engineering and Management at Technion – Israel Institute of Technology.

    Erwin Diewert
    Erwin Diewert is Professor of Applied Mathematics at Chung Yuan Christian University in Taiwan.

    Siegfried Schaible

    Israel Zang
    Israel Zang is President of the Academic College of Tel Aviv Jaffa.

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