Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1348

 Title: Splines in Numerical Integration Authors: Udovičić, Zlatko Keywords: Cardinal B-SplineCoeﬃcientsMomentsRectangular RuleInterpolating Quadratic SplineHat FunctionCubic B-Spline Issue Date: 2010 Publisher: Bulgarian Academy of Sciences - National Committee for Mathematics Citation: Mathematica Balkanica New Series, Vol. 24, Fasc 3-4 (2010), 351p-358p Abstract: We gave a short review of several results which are related to the role of splines (cardinal, centered or interpolating) in numerical integration. Results deal with the problem of approximate computation of the integrals with spline as a weight function, but also with the problem of approximate computation of the integrals without weight function. Besides, we presented an algorithm for calculation of the coeﬃcients of the polynomials which correspond to the cardinal B-spline of arbitrary order and described ﬁve methods for calculation of the moments in the case when cardinal B-spline of order m,m ∈ N, is a weight function. Description: AMS Subj. Classiﬁcation: 65D07, 65D30. URI: http://hdl.handle.net/10525/1348 ISSN: 0205-3217 Appears in Collections: Mathematica Balkanica New Series, Vol. 24, 2010, Fasc. 3-4

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