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Generalized Concavity is written by Mordecai Avriel and published by SIAM. It's available with International Standard Book Number or ISBN identification 0898719437 (ISBN 10) and 9780898719437 (ISBN 13).
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.