Functions preserving a cone preorder and their duals

• Autorzy: Zdzisław Otachel
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Isotone function; convex cone; dual cone; cone preorder; decreasing rearrangement of function; Steffensen Inequality

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2005
• Tom: 45
• Numer: 2

Daty

wydano

2005

online

2017-12-19

Twórcy

autor

Zdzisław Otachel

Identyfikatory

DOI

10.14708/cm.v45i2.5198