Harmonicity Modulus and Applications to the Approximation by Polyharmonic Functions
Numerical Analysis
2010-05-28 v1 Functional Analysis
Abstract
In the present paper we introduce the notion of harmonicity modulus and harmonicity K-functional and apply these notions to prove a Jackson type theorem for approximation of continuous functions by polyharmonic functions. For corresponding results on approximation by polynomials see [3, 7].
Cite
@article{arxiv.1005.4970,
title = {Harmonicity Modulus and Applications to the Approximation by Polyharmonic Functions},
author = {Ognyan Kounchev},
journal= {arXiv preprint arXiv:1005.4970},
year = {2010}
}