کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4641574 | 1341313 | 2010 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Menke points on the real line and their connection to classical orthogonal polynomials
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Menke points on the real line and their connection to classical orthogonal polynomials Menke points on the real line and their connection to classical orthogonal polynomials](/preview/png/4641574.png)
چکیده انگلیسی
We investigate the properties of extremal point systems on the real line consisting of two interlaced sets of points solving a modified minimum energy problem. We show that these extremal points for the intervals [−1,1][−1,1], [0,∞)[0,∞) and (−∞,∞)(−∞,∞), which are analogues of Menke points for a closed curve, are related to the zeros and extrema of classical orthogonal polynomials. Use of external fields in the form of suitable weight functions instead of constraints motivates the study of “weighted Menke points” on [0,∞)[0,∞) and (−∞,∞)(−∞,∞). We also discuss the asymptotic behavior of the Lebesgue constant for the Menke points on [−1,1][−1,1].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 233, Issue 6, 15 January 2010, Pages 1416–1431
Journal: Journal of Computational and Applied Mathematics - Volume 233, Issue 6, 15 January 2010, Pages 1416–1431
نویسندگان
P. Mathur, J.S. Brauchart, E.B. Saff,