Functions preserving a cone preorder and their duals

Zdzisław Otachel

Commentationes Mathematicae (2005)

  • Volume: 45, Issue: 2
  • ISSN: 2080-1211

Abstract

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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.

How to cite

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Zdzisław Otachel. "Functions preserving a cone preorder and their duals." Commentationes Mathematicae 45.2 (2005): null. <http://eudml.org/doc/291744>.

@article{ZdzisławOtachel2005,
abstract = {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.},
author = {Zdzisław Otachel},
journal = {Commentationes Mathematicae},
keywords = {Isotone function; convex cone; dual cone; cone preorder; decreasing rearrangement of function; Steffensen Inequality},
language = {eng},
number = {2},
pages = {null},
title = {Functions preserving a cone preorder and their duals},
url = {http://eudml.org/doc/291744},
volume = {45},
year = {2005},
}

TY - JOUR
AU - Zdzisław Otachel
TI - Functions preserving a cone preorder and their duals
JO - Commentationes Mathematicae
PY - 2005
VL - 45
IS - 2
SP - null
AB - 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.
LA - eng
KW - Isotone function; convex cone; dual cone; cone preorder; decreasing rearrangement of function; Steffensen Inequality
UR - http://eudml.org/doc/291744
ER -

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