Representation of multivariate functions via the potential theory
Analysis of PDEs
2007-05-23 v1 Classical Analysis and ODEs
Abstract
In this paper, by the use of Potential Theory, some representation results for multivariate functions from the Sobolev spaces in terms of the double layer potential and the fundamental solution of Laplace's equation are pointed out. Applications for multivariate inequalities of Ostrowski type are also provided.
Cite
@article{arxiv.math/0311275,
title = {Representation of multivariate functions via the potential theory},
author = {Florica-Corina Cirstea and Sever Silvestru Dragomir},
journal= {arXiv preprint arXiv:math/0311275},
year = {2007}
}