Representation of multivariate functions via the potential theory and applications to inequalities

Florica C. Cǐrstea; Sever S. Dragomir

doi:10.1155/2008/475957

Representation of multivariate functions via the potential theory and applications to inequalities

Florica C. Cǐrstea, Sever S. Dragomir

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Article number	475957
Journal	Journal of Inequalities and Applications
Volume	2008
DOIs	https://doi.org/10.1155/2008/475957
Publication status	Published - 2008

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

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Representation of multivariate functions via the potential theory and applications to inequalities

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