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 | 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 |
| Download/View statistics | View download statistics for this item |
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