Generalized concavity

Generalized concavity

by Avriel, M.

Type Book
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A comprehensive book on generalized convexity and concavity. The authors present generalized concave functions in a unified framework, exploring them primarily from the domains of optimization and economics. Concavity of a function is a common property used in most of the important theorems concerning properties of optimization problems in mathematical economics, operations research, mathematical programming, engineering, and management science. Generalized concavity deals with the many nonconc…

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Title Statements

  • Full title :Generalized concavity / Mordecai Avriel [and others].

Summary

A comprehensive book on generalized convexity and concavity. The authors present generalized concave functions in a unified framework, exploring them primarily from the domains of optimization and economics. Concavity of a function is a common property used in most of the important theorems concerning properties of optimization problems in mathematical economics, operations research, mathematical programming, engineering, and management science. Generalized concavity deals with the many nonconcave functions that have properties similar to those of concave functions.

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Edition Statements

  • Publication Date:©2010.

Publication Statements

Notes

Originally published: New York : Plenum Press, 1988.

The Physical Object

  • Description:xvi, 332 pages : : illustrations ; : 23 cm

Edition Identifiers

  • ISBN:9780898718966, 0898718961, 9780898719437, 0898719437
  • oclc:ocn697885491
  • LC Classification:QA353.C64
  • Dewey Decimal:515/.94

Table of Contents

Preface to the classics edition -- Preface -- 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.

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Subjects

Concave functions Convex programming Convexity in economics Convexity/concavity Fonctions concaves Fractional programming Generalized convexity/generalized conca…

Writers

Avriel, M.

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