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.
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Received May 26, 2000 / Published online August 17, 2001
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Peña, J. On the optimal stability of bases of univariate functions. Numer. Math. 91, 305–318 (2002). https://doi.org/10.1007/s002110100327
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DOI: https://doi.org/10.1007/s002110100327