Handbook of Generalized Convexity and Generalized Monotonicity

Various generalizations of the classical concept of a convex function have been introduced, especially during the second half of the 20th century. Generalized convex functions are the many nonconvex functions which share at least one of the valuable properties of convex functions. Apart from their t...

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Autore principale: Hadjisavvas, Nicolas, 1953-
Altri autori: Komlósi, Sándor, 1947-...., mathématicien (Redattore), Schaible, Siegfried, 1940- (Redattore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edizione:1st ed. 2005.
Serie:Nonconvex Optimization and Its Applications 76
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Edition sous un autre format:• Earthquake prediction, nine major earthquakes in China (1966-1976), Ma Zongjin ... [et al.], 1990, Beijing, Seismological Press, Springer-Verlag, xi-332 p., 3-540-50271-8
• Handbook of generalized convexity and generalized monotonicity, ed. by Nicolas Hadjisavvas,...Sandor Komlosi,... Siegfried Schaible,..., New-York, Springer, 2005, 1 vol (xx - 672 p.), Nonconvex optimization and its applications, 0-387-23255-9
• Handbook of Generalized Convexity and Generalized Monotonicity, Texte imprimé, 9781489995025
Descrizione
Riassunto:Various generalizations of the classical concept of a convex function have been introduced, especially during the second half of the 20th century. Generalized convex functions are the many nonconvex functions which share at least one of the valuable properties of convex functions. Apart from their theoretical interest, they are often more suitable than convex functions to describe real-word problems in disciplines such as economics, engineering, management science, probability theory and in other applied sciences. More recently, generalized monotone maps which are closely related to generalized convex functions have also been studied extensively. While initial efforts to generalize convexity and monotonicity were limited to only a few research centers, today there are numerous researchers throughout the world and in various disciplines engaged in theoretical and applied studies of generalized convexity/monotonicity (see http://www.genconv.org). The Handbook offers a systematic and thorough exposition of the theory and applications of the various aspects of generalized convexity and generalized monotonicity. It is aimed at the non-expert, for whom it provides a detailed introduction, as well as at the expert who seeks to learn about the latest developments and references in his research area. Results in this fast growing field are contained in a large number of scientific papers which appeared in a variety of professional journals, partially due to the interdisciplinary nature of the subject matter. Each of its fourteen chapters is written by leading experts of the respective research area starting from the very basics and moving on to the state of the art of the subject. Each chapter is complemented by a comprehensive bibliography which will assist the non-expert and expert alike.
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Archives Springer e-books (Licence nationale)
ISBN:9780387233932
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