کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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4642133 | 1632055 | 2007 | 20 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Polynomial approximation of CMCM functions by means of boundary values and applications: A survey Polynomial approximation of CMCM functions by means of boundary values and applications: A survey](/preview/png/4642133.png)
We collect classical and more recent results on polynomial approximation of sufficiently regular real functions defined in bounded closed intervals by means of boundary values only. The problem is considered from the point of view of the existence of explicit formulas, interpolation to boundary data, bounds for the remainder and convergence of the polynomial series. Applications to some problems of numerical analysis are pointed out, such as nonlinear equations, numerical differentiation and integration formulas, special associated differential boundary value problems. Some polynomial expansions for smooth enough functions defined in rectangles or in triangles of R2R2 as well as in cuboids or in tetrahedrons in R3R3 and their applications are also discussed.
Journal: Journal of Computational and Applied Mathematics - Volume 210, Issues 1–2, 31 December 2007, Pages 116–135