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Field name	Details
Dewey Class	519.6
Title	Generalized Convexity and Fractional Programming with Economic Applications ([EBook]) : Proceedings of the International Workshop on “Generalized Concavity, Fractional Programming and Economic Applications” Held at the University of Pisa, Italy, May 30 – June 1, 1988 / edited by Alberto Cambini, Erio Castagnoli, Laura Martein, Piera Mazzoleni, Siegfried Schaible.
Added Personal Name	Cambini, Alberto. , 1941-
	Castagnoli, Erio
	Martein, Laura
	Mazzoleni, Piera
	Schaible, Siegfried
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1990.
Physical Details	VII, 361 pages : online resource.
Series	Lecture notes in economics and mathematical systems 0075-8442 ; ; 345
ISBN	9783642467097
Summary Note	Generalizations of convex functions have been used in a variety of fields such as economics. business administration. engineering. statistics and applied sciences.· In 1949 de Finetti introduced one of the fundamental of generalized convex functions characterized by convex level sets which are now known as quasiconvex functions. Since then numerous types of generalized convex functions have been defined in accordance with the need of particular applications.· In each case such functions preserve soine of the valuable properties of a convex function. In addition to generalized convex functions this volume deals with fractional programs. These are constrained optimization problems which in the objective function involve one or several ratios. Such functions are often generalized convex. Fractional programs arise in management science. economics and numerical mathematics for example. In order to promote the circulation and development of research in this field. an international workshop on "Generalized Concavity. Fractional Programming and Economic Applications" was held at the University of Pisa. Italy. May 30 - June 1. 1988. Following conferences on similar topics in Vancouver. Canada in 1980 and in Canton. USA in 1986. it was the first such conference organized in Europe. It brought together 70 scientists from 11 countries. Organizers were Professor A. Cambini. University of Pisa. Professor E. Castagnoli. Bocconi University. Milano. Professor L. Martein. University of Pisa. Professor P. Mazzoleni. University of Verona and Professor S. Schaible. University of California. Riverside.:
Contents note	I. Generalized Convexity -- to generalized convexity -- Structural developments of concavity properties -- Projectively-convex models in economics -- Convex directional derivatives in optimization -- Differentiable (? , ?)-concave functions -- On the bicriteria maximization problem -- II. Fractional Programming -- Fractional programming — some recent results -- Recent results in disjunctive linear fractional programming -- An interval-type algorithm for generalized fractional programming -- A modified Kelley’s cutting plane algorithm for some special nonconvex problems -- Equivalence and parametric analysis in linear fractional programming -- Linear fractional and bicriteria linear fractional programs -- III. Duality and Conjugation -- Generalized conjugation and related topics -- On strongly convex and paraconvex dualities -- Generalized convexity and fractional optimization -- Duality in multiobjective fractional programming -- An approach to Lagrangian duality in vector optimization -- Rubinstein Duality Scheme for Vector Optimization -- IV. Applications of Generalized Convexity in Management Science and Economics -- Generalized convexity in economics: some examples -- Log-Convexity and Global Portfolio Immunization -- Improved analysis of the generalized convexity of a function in portfolio theory -- On some fractional programming models occurring in minimum-risk problems -- Quasi convex lower level problem and applications in two level optimization -- Problems of convex analysis in economic dynamical models -- Recent bounds in coding using programming techniques -- Logical aspects concerning Shephard’s axioms of production theory -- Contributing Authors.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-642-46709-7
Links to Related Works	Subject References: Applications of Mathematics . Applied mathematics . Calculus of variations . Decision making . Economic theory . Engineering mathematics . Microeconomics . Operation Research/Decision Theory . Operations research . System theory . Authors: Cambini, Alberto. 1941- . Castagnoli, Erio . editor . Martein, Laura . Mazzoleni, Piera . Schaible, Siegfried . Corporate Authors: SpringerLink (Online service) . Series: Lecture notes in economics and mathematical systems . Classification: 519.6 .

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Generalized Convexity and Fractional Programming with Economic Applications: Proceedings of the International Workshop on “Generalized Concavity, Fractional Programming and Economic Applications” Held at the University of Pisa, Italy, May 30 – June 1, 1988

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