Parallel evaluation of Chebyshev and trigonometric series
نویسندگان
چکیده
منابع مشابه
Numerical Evaluation of Some Trigonometric Series
We present a method for the accurate numerical evaluation of a family of trigonometric series arising in the design of special-purpose quadrature rules for boundary element methods. The series converge rather slowly, but can be expressed in terms of Fourier-Chebyshev series that converge rapidly. Let r be a positive integer, and define the functions Gr and Hr by
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is that of suitably defining a trigonometric integral with the property that, if the series (1.1) converges everywhere to a function ƒ(x), then f(x) is necessarily integrable and the coefficients, an and bn, given in the usual Fourier form. It is well known that a series may converge everywhere to a function which is not Lebesgue summable nor even Denjoy integrable (completely totalisable, [3])...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1999
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(99)00289-8