Geodesic
Functions preserving a cone preorder and their duals
Commentationes Mathematicae, Tome 45 (2005) no. 2, pp. 171-189.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In this paper isotone functions and their dual cones are studied. Special attention is devoted to functions preserving cone preorders. This isotonicity is characterized by integral inequalities. The result yields some generators of dual cones of isotone functions. As an application a generalization of Steffensen Inequality is given.
DOI : 10.14708/cm.v45i2.5198
Mots-clés : Isotone function, convex cone, dual cone, cone preorder, decreasing rearrangement of function, Steffensen Inequality 
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Zdzisław Otachel. Functions preserving a cone preorder and their duals. Commentationes Mathematicae, Tome 45 (2005) no. 2, pp.  171-189. doi : 10.14708/cm.v45i2.5198. http://geodesic.mathdoc.fr/articles/10.14708/cm.v45i2.5198/

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