Periodic Spline Interpolation with Shifted Nodes
نویسندگان
چکیده
منابع مشابه
Cardinal Hermite Spline Interpolation with Shifted Nodes
Generalized cardinal Hermite spline interpolation is considered. A special case of this problem is the classical cardinal Hermite spline interpolation with shifted nodes. By means of a corresponding symbol new representations of the cardinal Hermite fundamental splines can be given. Furthermore, a new efficient algorithm for the computation of the cardinal Hermite spline interpolant is obtained...
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Shifted surface spline is a frequently used radial function for scattered data interpolation. The most frequently used error bounds for this radial function are the one raised by Wu and Schaback in [17] and the one raised by Madych and Nelson in [14]. Both are O(d) as d → 0, where l is a positive integer and d is the well-known fill-distance which roughly speaking measures the spacing of the da...
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The polynomial-trigonometric interpolation based on the Krylov approach for a smooth function given on [-1, 1] is defined on the union of m shifted each other uniform grids with the equal number of points. The asymptotic errors of the interpolation in both uniform and L2 metrics are investigated. It turned out that the corresponding errors can be minimized due to an optimal choice of the shift ...
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The accuracy of interpolation by a radial basis function φ is usually very satisfactory provided that the approximant f is reasonably smooth. However, for functions which have smoothness below a certain order associated with the basis function φ, no approximation power has yet been established. Hence, the purpose of this study is to discuss the Lp-approximation order (1 ≤ p ≤ ∞) of interpolatio...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1994
ISSN: 0021-9045
DOI: 10.1006/jath.1994.1001