Abstract
The approximation by sums of exponentials shares some of the properties of rational approximation. But there is an essential difference: the best approximation is not always unique. There may be more than one isolated solution, which means that phenomena arise which are not met in the linear theory. Fortunately, it is possible to establish explicit bounds for the number of solutions. In order to get them, the results for Haar embedded manifold (derived with methods of global analysis), are applied.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Braess, D. (1986). Chebyshev Approximation by γ-Polynomials. In: Nonlinear Approximation Theory. Springer Series in Computational Mathematics, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61609-9_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-61609-9_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64883-0
Online ISBN: 978-3-642-61609-9
eBook Packages: Springer Book Archive