کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9500672 | 1337930 | 2005 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Discrete orthogonal projections on multiple knot periodic splines
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Discrete orthogonal projections on multiple knot periodic splines Discrete orthogonal projections on multiple knot periodic splines](/preview/png/9500672.png)
چکیده انگلیسی
This paper establishes properties of discrete orthogonal projections on periodic spline spaces of order r, with knots that are equally spaced and of arbitrary multiplicity M⩽r. The discrete orthogonal projection is expressed in terms of a quadrature rule formed by mapping a fixed J-point rule to each sub-interval. The results include stability with respect to discrete and continuous norms, convergence, commutator and superapproximation properties. A key role is played by a novel basis for the spline space of multiplicity M, which reduces to a familiar basis when M=1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 137, Issue 2, December 2005, Pages 201-225
Journal: Journal of Approximation Theory - Volume 137, Issue 2, December 2005, Pages 201-225
نویسندگان
R.D. Grigorieff, I.H. Sloan,