Originally published in 1988, this enduring text remains the most 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
Generalized Concavity
β Scribed by Mordecai Avriel, Walter E. Diewert, Siegfried Schaible, Israel Zang (auth.)
- Publisher
- Springer US
- Year
- 1988
- Tongue
- English
- Leaves
- 338
- Series
- Mathematical Concepts and Methods in Science and Engineering 36
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Content:
Front Matter....Pages i-x
Introduction....Pages 1-14
Concavity....Pages 15-54
Generalized Concavity....Pages 55-100
Application of Generalized Concavity to Economics....Pages 101-151
Special Functional Forms I: Composite Functions, Products, and Ratios....Pages 153-166
Fractional Programming....Pages 207-230
Concave Transformable Functions....Pages 231-292
Additional Generalizations of Concavity....Pages 293-320
π SIMILAR VOLUMES
<p>Convexity of sets in linear spaces, and concavity and convexity of functions, lie at the root of beautiful theoretical results that are at the same time extremely useful in the analysis and solution of optimization problems, including problems of either single objective or multiple objectives. No