Abstract
Various types of convexity for functions were defined related to various notions of convexity for sets. The reason of this correspondence is in the behaviour of the graph of the function or of a region of the space related to this graph. Even if the aim of this book is not to study convexities for functions, we dedicate this chapter to some classes of convex functions related to some above discussed convexities for sets, in order to prepare the results contained in the chapters dealing with applications in mathematical programming. Also, we give some interesting models of construction of some generalisations of convex functions.
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© 2002 Springer Science+Business Media Dordrecht
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Cristescu, G., Lupşa, L. (2002). Various types of generalized convex functions. In: Non-Connected Convexities and Applications. Applied Optimization, vol 68. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0003-2_11
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DOI: https://doi.org/10.1007/978-1-4615-0003-2_11
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-4881-8
Online ISBN: 978-1-4615-0003-2
eBook Packages: Springer Book Archive