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Some Inequalities for the Integral Mean of Hölder Continuous Functions Defined on Disks in a Plane

Barnett, Neil S and Cirstea, Florica-Corina and Dragomir, Sever S (2001) Some Inequalities for the Integral Mean of Hölder Continuous Functions Defined on Disks in a Plane. RGMIA research report collection, 5 (1).

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Abstract

Some bounds for the derivation of the integral mean of a function defined on a compact disk from the value at the central point and related results are presented. A version of Ostrowski’s inequality for functions defined on the unit disk is also presented.

Item Type: Article
Uncontrolled Keywords: integral means, Ostrowski’s inequality, Hermite-Hadamard type 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 03:52
Last Modified: 23 May 2013 16:51
URI: http://vuir.vu.edu.au/id/eprint/17671
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