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

Cirstea, Florica-Corina and Dragomir, Sever S (2008) Representation of Multivariate Functions via the Potential Theory and Applications to Inequalities. Journal of Inequalities and Applications, 2008. pp. 1-15. ISSN 1025-5834

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Abstract

We use the potential theory to give integral representations of functions in the Sobolev spaces W1,p(Ω), where p≥1 and Ω is a smooth bounded domain in ℝN (N≥2). As a byproduct, we obtain sharp inequalities of Ostrowski type.

Item Type: Article
Uncontrolled Keywords: ResPubID15203. inequalities and applications, potential theory, inequalities of Ostrowski type, double-layer potential, sobolev space, Green-Riemann formula
Subjects: Faculty/School/Research Centre/Department > School of Engineering and Science
FOR Classification > 0101 Pure Mathematics
SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Depositing User: VUIR
Date Deposited: 07 Sep 2011 02:12
Last Modified: 07 Sep 2011 02:12
URI: http://vuir.vu.edu.au/id/eprint/3572
DOI: 10.1155/2008/475957
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Citations in Scopus: 0 - View on Scopus

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