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A Grüss Type Inequality For Isotonic Linear Functionals And Applications

Dragomir, Sever S (2002) A Grüss Type Inequality For Isotonic Linear Functionals And Applications. RGMIA research report collection, 5 (Supp).

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Abstract

An inequality for a normalised isotonic linear functional of Grüss type and particular cases for integrals and norms are established. Applications in obtaining a counterpart for the Cauchy-Buniakowski-Schwartz inequality for functionals and Jessen’s inequality for convex functions are also given.

Item Type: Article
Uncontrolled Keywords: Grüss inequality, isotonic linear functionals, Cauchy-Buniakowski-Schwartz inequality, Jessen’s inequality, Jensen discrete and integral inequalities
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 30 Aug 2012 03:20
Last Modified: 23 May 2013 16:53
URI: http://vuir.vu.edu.au/id/eprint/17994
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