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Using Rolle's Theorem in Exponential Function-Derivative Approximation

Published online by Cambridge University Press:  20 November 2018

L. Keener
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For a continuously differentiable function g defined on an interval [α,β], define ||g|| to be the uniform norm of g, i.e. ||g||=sup ∊[α,β]|g(x)|. Define ||g||1, by ||g||1=max||g||, ||g'||}. We call the norm ||.||x the function-derivative norm.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 5 , 01 December 1975 , pp. 755 - 757
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Keener, L. Doctoral Dissertation, Rensselaer Polytechnic Institute, 1972.Google Scholar
2. Polya, G. and Szego, G. Aufgaben und Lehrs?tze der Analysis, Springer-Verlag, Berlin- G?ttingen-Heidelberg, 1960.Google Scholar
3. Werner, H. "Tschebyscheff-Approximation with sums of exponentials", Approximation Theory, Talbot, A. éd., Academic Press, London-New York, 1970, pp. 109-136.Google Scholar