A Grüss Type Inequality For Isotonic Linear Functionals And Applications

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


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
URI https://vuir.vu.edu.au/id/eprint/17994
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Grüss inequality, isotonic linear functionals, Cauchy-Buniakowski-Schwartz inequality, Jessen’s inequality, Jensen discrete and integral inequalities
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