کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641041 1341294 2009 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Error estimates for Gaussian quadratures of analytic functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Error estimates for Gaussian quadratures of analytic functions
چکیده انگلیسی

For analytic functions the remainder term of Gaussian quadrature formula and its Kronrod extension can be represented as a contour integral with a complex kernel. We study these kernels on elliptic contours with foci at the points ±1 and the sum of semi-axes ϱ>1ϱ>1 for the Chebyshev weight functions of the first, second and third kind, and derive representation of their difference. Using this representation and following Kronrod’s method of obtaining a practical error estimate in numerical integration, we derive new error estimates for Gaussian quadratures.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 233, Issue 3, 1 December 2009, Pages 802–807
نویسندگان
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