Geodesic
Strongly Quasiconvex Quadratic Functions
Publications de l'Institut Mathématique, _N_S_53 (1993) no. 67, p. 153 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

A quadratic function is quasiconvex in $R^n$ if and only if it is convex [3]. However, this is not true in $R^n_+$. We prove that a quadratic function is strongly quasiconvex in a convex cone $K$ ($0\in K$, $\int K \ne \emptyset$) if and only if it is strongly convex.
Classification : 90C30 
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     author = {Milan Jovanovi\'c},
     title = {Strongly {Quasiconvex} {Quadratic} {Functions}},
     journal = {Publications de l'Institut Math\'ematique},
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     year = {1993},
     language = {en},
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}
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Milan Jovanović. Strongly Quasiconvex Quadratic Functions. Publications de l'Institut Mathématique, _N_S_53 (1993) no. 67, p. 153 . http://geodesic.mathdoc.fr/item/PIM_1993_N_S_53_67_a20/