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 1025-5834Full text for this resource is not available from the Research Repository.
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.
|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
|Date Deposited:||07 Sep 2011 02:12|
|Last Modified:||07 Sep 2011 02:12|
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|Citations in Scopus:||0 - View on Scopus|
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