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

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Cirstea, Florica-Corina and Dragomir, Sever S ORCID: 0000-0003-2902-6805 (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

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.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/3572
DOI https://doi.org/10.1155/2008/475957
Official URL http://www.hindawi.com/journals/jia/2008/475957/ab...
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0101 Pure Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Keywords ResPubID15203. inequalities and applications, potential theory, inequalities of Ostrowski type, double-layer potential, sobolev space, Green-Riemann formula
Citations in Scopus 0 - View on Scopus
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