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

Cirstea, Florica-Corina; Dragomir, Sever

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

Date

2008

Authors

Cirstea, Florica-Corina

Dragomir, Sever

Publisher

Taylor & Francis Group

Abstract

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.

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http://hdl.handle.net/1885/38205

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ANU Research Publications

Source

Journal of Inequalities and Applications

Type

Journal article

DOI

10.1155/2008/475957

Restricted until

2037-12-31

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

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