Skip to main content
Log in

On the optimal stability of bases of univariate functions

  • Original article
  • Published:
Numerische Mathematik Aims and scope Submit manuscript

Summary

This paper is concerned with bases of finite dimensional spaces of univariate continuous functions which are optimally stable for evaluation. The only bases considered are those whose elements have no sign changes. Among these, an optimally stable basis is characterized under the assumption that the set of points where each basis function is nonzero is an interval. A uniqueness result and many examples of such optimally stable bases are also provided.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

Authors

Additional information

Received May 26, 2000 / Published online August 17, 2001

Rights and permissions

Reprints and permissions

About this article

Cite this article

Peña, J. On the optimal stability of bases of univariate functions. Numer. Math. 91, 305–318 (2002). https://doi.org/10.1007/s002110100327

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002110100327

Navigation