Representation of Multivariate Functions via the Potential Theory and Applications to Inequalities
© F. C. Cîrstea and S. S. Dragomir. 2008
Received: 12 February 2007
Accepted: 9 November 2007
Published: 27 November 2007
We use the potential theory to give integral representations of functions in the Sobolev spaces , where and is a smooth bounded domain in . As a byproduct, we obtain sharp inequalities of Ostrowski type.
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