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Representation of Multivariate Functions via the Potential Theory and Applications to Inequalities

Cirstea, Florica-Corina; Dragomir, Sever


We use the potential theory to give integral representations of functions in the Sobolev spaces W 1,p (Ω), where p<1 and Ω is a smooth bounded domain in N (N<2).As a byproduct, we obtain sharp inequalities of Ostrowski type.

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
Source: Journal of Inequalities and Applications
DOI: 10.1155/2008/475957


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