کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9509891 | 1341419 | 2005 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Approximation by B-spline convolution operators. A probabilistic approach
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Approximation by B-spline convolution operators. A probabilistic approach Approximation by B-spline convolution operators. A probabilistic approach](/preview/png/9509891.png)
چکیده انگلیسی
This paper is concerned with the approximation properties of convolution operators with respect to univariate B-splines. For such operators, we give rates of uniform convergence in terms of the usual second modulus of smoothness at a length which depends on the distances between the knots and their multiplicity. A reasonable balance between the degree of accuracy in the approximation and the degree of differentiability of the approximants is achieved by considering Steklov operators (built up from B-splines with equidistant simple knots), for which strong converse inequalities are given. Applications to simultaneous approximation and divided difference expansions, and to estimate the infinite time ruin probabilities in a context of risk theory are also provided. We use a probabilistic approach in the spirit of Karlin et al. (J. Multivariate Anal. 20 (1986) 69) and Ignatov and Kaishev (Serdica 15 (1989) 91) based on the representation of B-splines as the probability densities of linear combinations of uniform order statistics.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 174, Issue 1, 1 February 2005, Pages 79-99
Journal: Journal of Computational and Applied Mathematics - Volume 174, Issue 1, 1 February 2005, Pages 79-99
نویسندگان
J.A. Adell, C. Sangüesa,