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GIBBS PHENOMENON AND CERTAIN NONHARMONIC FOURIER SERIES
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 Title & Authors
GIBBS PHENOMENON AND CERTAIN NONHARMONIC FOURIER SERIES
Rhee, Jung-Soo;
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 Abstract
The Fourier series has a rapid oscillation near end points at jump discontinuity which is called the Gibbs phenomenon. There is an overshoot (or undershoot) of approximately 9% at jump discontinuity. In this paper, we prove that a bunch of series representations (certain nonharmonic Fourier series) give good approximations vanishing Gibbs phenomenon. Also we have an application for approximating some shape of upper part of a vehicle in a different way from the method of cubic splines and wavelets.
 Keywords
Gibbs phenomenon;certain nonharmonic Fourier series;splines and wavelets;
 Language
English
 Cited by
 References
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