A Refinement of the Grüss Inequality and Applications

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Cerone, Pietro and Dragomir, Sever S (2002) A Refinement of the Grüss Inequality and Applications. RGMIA research report collection, 5 (2).


A sharp refinement of the Grüss inequality in the general setting of measurable spaces and abstract Lebesgue integrals is proven. Some consequential particular inequalities are mentioned.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17716
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, measurable functions, Lebesgue integral, perturbed rules
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