Abstract.
Although Newman's trick has been mainly applied to the approximation of univariate functions, it is also appropriate for the approximation of multivariate functions that are encountered in connection with Green's functions for elliptic differential equations. The asymptotics of the real-valued function on a ball in 2-space coincides with that for an approximation problem in the complex plane. The note contains an open problem.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
May 17, 1999. Date revised: October 20, 1999. Date accepted: March 17, 2000.
Rights and permissions
About this article
Cite this article
Braess, D. Note on the Approximation of Powers of the Distance in Two-Dimensional Domains. Constr. Approx. 17, 147–151 (2001). https://doi.org/10.1007/s003650010024
Published:
Issue Date:
DOI: https://doi.org/10.1007/s003650010024