Presentation
Generalizations of nondifferentiable convex functions and some characterizations
Author/s | Ruiz Canales, Pascual
Beato Moreno, Antonio |
Department | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa |
Publication Date | 1991 |
Deposit Date | 2017-03-03 |
Published in |
|
Abstract | In this paper we generalize the convex functions, defining the concept of
preconvex function and we study some characterizations by intervals, some characterizations by polytopes, some characterizations by level sets, ... In this paper we generalize the convex functions, defining the concept of preconvex function and we study some characterizations by intervals, some characterizations by polytopes, some characterizations by level sets, some properties of the extreme points and some relations whith the convex functions. Also, we define the R-quasiconvex functions as a generalization of the quasiconvex functions, and we study some characterizations by level sets and by separation sets, and some relations with the quasiconvex functions. |
Citation | Ruiz Canales, P. y Beato Moreno, A. (1991). Generalizations of nondifferentiable convex functions and some characterizations. En 14th International Symposium on Mathematical Programming, Amsterdam. |
Files | Size | Format | View | Description |
---|---|---|---|---|
Generalizations of nondifferen ... | 123.6Kb | [PDF] | View/ | |