Gauss-Type Quadrature Formulae for Parabolic Splines with Equidistant Knots

Geno Nikolov () and Corina Simian ()
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Geno Nikolov: Sofia University St. Kliment Ohridski
Corina Simian: Lucian Blaga University of Sibiu

A chapter in Approximation and Computation, 2010, pp 209-231 from Springer

Abstract: Abstract We construct Gauss, Lobatto, and Radau quadrature formulae associated with the spaces of parabolic splines with equidistant knots. These quadrature formulae are known to be asymptotically optimal in Sobolev spaces W p 3. Sharp estimates for the error constant in W ∞ 3 are given.

Keywords: Quadrature Formula; Spline Function; Error Constant; Algebraic Degree; Gaussian Quadrature Formula (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4419-6594-3_14

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DOI: 10.1007/978-1-4419-6594-3_14

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