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

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Barnett, Neil S, 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).

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
URI https://vuir.vu.edu.au/id/eprint/17671
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 integral means, Ostrowski’s inequality, Hermite-Hadamard type inequalities
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