The Gibbs phenomenon in generalized Padé approximation
نویسندگان
چکیده
منابع مشابه
How well does the Hermite-Padé approximation smooth the Gibbs phenomenon?
In order to reduce the Gibbs phenomenon exhibited by the partial Fourier sums of a periodic function f , defined on [−π, π], discontinuous at 0, Driscoll and Fornberg considered so-called singular Fourier-Padé approximants constructed from the Hermite-Padé approximants of the system of functions (1, g1(z), g2(z)), where g1(z) = log(1 − z) and g2(z) is analytic, such that Re (g2(e)) = f(t). Conv...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1985
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.526521