[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2011.26.1.089

GIBBS PHENOMENON AND CERTAIN NONHARMONIC FOURIER SERIES

Rhee, Jung-Soo (DEPARTMENT OF MATHEMATICS PUSAN UNIVERSITY OF FOREIGN STUDIES)

Publication Information

Communications of the Korean Mathematical Society / v.26, no.1, 2011 , pp. 89-98 More about this Journal

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;

Citations & Related Records

Times Cited By SCOPUS : 0

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