Note on Gibbs' phenomenon
نویسندگان
چکیده
منابع مشابه
On the Gibbs Phenomenon and Its Resolution
The nonuniform convergence of the Fourier series for discontinuous functions, and in particular the oscillatory behavior of the finite sum, was already analyzed by Wilbraham in 1848. This was later named the Gibbs phenomenon. This article is a review of the Gibbs phenomenon from a different perspective. The Gibbs phenomenon, as we view it, deals with the issue of recovering point values of a fu...
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An understanding of Fourier series and their generalizations is important for physics and engineering students, as much for mathematical and physical insight as for applications. Students are usually confused by the so-called Gibbs phenomenon-the persistent discrepancy, an "overshoot," between a discontinuous function and its approximation by a Fourier series as the number of terms in the serie...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1925
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1925-04080-x