کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4638503 1632007 2015 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A connection between Szegő–Lobatto and quasi Gauss-type quadrature formulas
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A connection between Szegő–Lobatto and quasi Gauss-type quadrature formulas
چکیده انگلیسی

In this paper we obtain new results on positive quadrature formulas with prescribed nodes for the approximation of integrals with respect to a positive measure supported on the unit circle.We revise Szegő–Lobatto rules and we present a characterization of their existence. In particular, when the measure on the unit circle is symmetric, this characterization can be used to recover, in a more elementary way, a recent characterization result for the existence of positive quasi Gauss, quasi Radau and quasi Lobatto rules (quasi Gauss-type), due to B. Beckermann et. al. Some illustrative numerical examples are finally carried out in order to show the powerfulness of our results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 284, 15 August 2015, Pages 133–143
نویسندگان
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