2001•Unpublished venueRequires access
Convergence of Fourier serier and Gibbs phenomenon
Xiong Yuan
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Abstract
The convergence of a Fourier series developed from a periodic function f(t) is analyzed. The sufficient condition of convergence of a Fourier series developed from a periodic function, is that the periodic function f(t) is integrable and absolute integrable in the interval [-T2,T2].The sum of infinite term Fouries series does not have Gibbs phenomenon is proved by the mean_square error and the example of Fourier serier.