کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6418230 1339325 2014 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Quadratures and orthogonality associated with the Cayley transform
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Quadratures and orthogonality associated with the Cayley transform
چکیده انگلیسی

In this paper, we are dealing with the approximate calculation of weighted integrals over the whole real line. The method is based in passing to the unit circle by means of the so-called “Cayley transform”, z=i−xi+x and then making use of a Szegő or interpolatory-type quadrature formula on the unit circle, in order to obtain a Gauss-like quadrature rule on the real line. Some properties concerning orthogonality, maximal domains of validity of the quadratures and connections with certain orthogonal rational functions are presented. Finally, some numerical experiments are also carried out.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 420, Issue 1, 1 December 2014, Pages 20-39
نویسندگان
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