کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9509664 | 1632061 | 2005 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The interaction of alternation points and poles in rational approximation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The interaction of alternation points and poles in rational approximation The interaction of alternation points and poles in rational approximation](/preview/png/9509664.png)
چکیده انگلیسی
The interrelation of alternation points for the minimal error function and poles of best Chebyshev approximants is investigated if uniform approximation on the interval [-1,1] by rational functions of degree (n(s),m(s)) is considered, sâN. In general, the alternation points need not to be uniformly distributed with respect to the equilibrium measure on [-1,1], even not to be dense on the interval. We show that, at least for a subsequence ÎâN, the asymptotic behaviour of the alternation points to the degrees (n(s),m(s)),sâÎ, is completely determined by the location of the poles of the best approximants, and vice versa, if m(s)⩽n(s) or m(s)-n(s)=o(s/logs) as sââ.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 179, Issues 1â2, 1 July 2005, Pages 31-46
Journal: Journal of Computational and Applied Mathematics - Volume 179, Issues 1â2, 1 July 2005, Pages 31-46
نویسندگان
Hans-Peter Blatt,