کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4626924 1631796 2015 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On polynomial function approximation with minimum mean squared relative error and a problem of Tchebychef
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On polynomial function approximation with minimum mean squared relative error and a problem of Tchebychef
چکیده انگلیسی

We consider the problem of constructing a polynomial approximation to a function f(x)f(x) over the interval [-1,1][-1,1] that minimizes the mean squared relative error (MMSRE) over the interval. We establish sufficient conditions for solving the problem. We then consider a classic problem from a paper of Tchebychef and compare his solution to MMSRE, demonstrating that in some cases the latter approach can yield a more appealing solution and one that it is applicable in a number of situations where the Tchebychef approach is not.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 258, 1 May 2015, Pages 22–28
نویسندگان
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