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Functions preserving a cone preorder and their duals

Zdzisław Otachel — 2005

Commentationes Mathematicae

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.

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