The Hardy–Littlewood function: an exercise in slowly convergent series
نویسندگان
چکیده
منابع مشابه
The Hardy-Littlewood Function An Exercise in Slowly Convergent Series
The function in question is H(x) = ∑∞ k=1 sin(x/k)/k. In deference to the general theme of this conference, a summation procedure is first described using orthogonal polynomials and polynomial/rational Gauss quadrature. Its effectiveness is limited to relatively small (positive) values of x. Direct summation with acceleration is shown to be more powerful for very large values of x. Such values ...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2005
ISSN: 0377-0427
DOI: 10.1016/j.cam.2004.09.043