Symbolic–numeric computation of orthogonal polynomials and Gaussian quadratures with respect to the cardinal B-spline

The first 60 coefficients in the three-term recurrence relation for monic polynomials orthogonal with respect to cardinal B -splines φ m as the weight functions on [0, m ] ( m ∈ ℕ) are obtained in a symbolic form. They enable calculation of parameters, nodes, and weights, in the corresponding Gaussi...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 76; no. 2; pp. 333 - 347
Main Author:	Milovanović, Gradimir V.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.10.2017 Springer Nature B.V
Subjects:	Algebra Algorithms Approximation B spline functions Computer Science Eigenvalues Nodes Numeric Computing Numerical Analysis Original Paper Polynomials Quadratures Theory of Computation Weighting functions 41A55 65D30 Moment Recurrence relation Gaussian quadrature formula Cardinal 65D32 spline Symbolic computation 41A15 Orthogonal polynomial 42C05
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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