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Generalized Concavity (Paperback)
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Generalized Concavity (Paperback)
Series: Classics in Applied Mathematics
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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 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. Specific topics covered in this book include: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.
General
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