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Exact bounds for the uniform approximation by cardinal spline interpolants. (English) Zbl 0812.41007
The author establishes the exact bounds for uniform approximation by \(r\)th degree cardinal spline interpolants for the real axis case as well as for \(p\)-periodic interpolation, where \(r\) and \(p\) are arbitrary positive integers, thus improving a result of Reimer who considered only the case where \(r\) and \(p\) are odd.
Reviewer: E.Quak (Schwerte)

MSC:
41A15 Spline approximation
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