کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642129 1632055 2007 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hyperinterpolation on the square
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Hyperinterpolation on the square
چکیده انگلیسی

We show that hyperinterpolation at (near) minimal cubature points for the product Chebyshev measure, along with Xu compact formula for the corresponding reproducing kernel, provide a simple and powerful polynomial approximation formula in the uniform norm on the square. The Lebesgue constant of the hyperinterpolation operator grows like log2log2 of the degree, as that of quasi-optimal interpolation sets recently proposed in the literature. Moreover, we give an accurate implementation of the hyperinterpolation formula with linear cost in the number of cubature points, and we compare it with interpolation formulas at the same set of points.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 210, Issues 1–2, 31 December 2007, Pages 78–83
نویسندگان
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