Generalized Concavity - Mordecai Avriel, Erwin Diewert, Siegfried Schaible, Israel Zang

Generalized Concavity

Buch | Softcover
344 Seiten
2010
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-0-89871-896-6 (ISBN)
113,45 inkl. MwSt
A comprehensive introduction to the field of generalised convexity/concavity for graduates and researchers. This will be useful to those working in a wide variety of disciplines: mathematicians, economists, computational mathematicians, management scientists and optimization theorists.
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.

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 is Professor of Applied Mathematics at Chung Yuan Christian University in Taiwan. Israel Zang is President of the Academic College of Tel Aviv Jaffa.

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.

Erscheint lt. Verlag 25.11.2010
Reihe/Serie Classics in Applied Mathematics
Verlagsort New York
Sprache englisch
Maße 152 x 228 mm
Gewicht 470 g
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Wirtschaft Betriebswirtschaft / Management
Wirtschaft Volkswirtschaftslehre Ökonometrie
ISBN-10 0-89871-896-1 / 0898718961
ISBN-13 978-0-89871-896-6 / 9780898718966
Zustand Neuware
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