Generalized Concavity

A comprehensive introduction to the field of generalised convexity/concavity for graduates and researchers.

Mordecai Avriel (Author), Erwin Diewert (Author), Siegfried Schaible (Author), Israel Zang (Author)

9780898718966, Society for Industrial and Applied Mathematics

Paperback / softback, published 25 November 2010

344 pages
22.8 x 15.2 x 1.7 cm, 0.47 kg

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.

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.

Subject Areas: Applied mathematics [PBW], Operational research [KJT], Econometrics [KCH]