کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4641529 | 1341311 | 2009 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A shape-preserving quasi-interpolation operator satisfying quadratic polynomial reproduction property to scattered data
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A shape-preserving quasi-interpolation operator satisfying quadratic polynomial reproduction property to scattered data A shape-preserving quasi-interpolation operator satisfying quadratic polynomial reproduction property to scattered data](/preview/png/4641529.png)
چکیده انگلیسی
In this paper, we construct a univariate quasi-interpolation operator to non-uniformly distributed data by cubic multiquadric functions. This operator is practical, as it does not require derivatives of the being approximated function at endpoints. Furthermore, it possesses univariate quadratic polynomial reproduction property, strict convexity-preserving and shape-preserving of order 3 properties, and a higher convergence rate. Finally, some numerical experiments are shown to compare the approximation capacity of our quasi-interpolation operator with that of Wu and Schaback's quasi-interpolation scheme.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 225, Issue 2, 15 March 2009, Pages 594-601
Journal: Journal of Computational and Applied Mathematics - Volume 225, Issue 2, 15 March 2009, Pages 594-601
نویسندگان
Renzhong Feng, Feng Li,