Treffer: Quadratures with multiple nodes, power orthogonality, and moment-preserving spline approximation
Title:
Quadratures with multiple nodes, power orthogonality, and moment-preserving spline approximation
Authors:
Source:
Journal of Computational and Applied Mathematics. 127:267-286
Publisher Information:
Elsevier BV, 2001.
Publication Year:
2001
Subject Terms:
Quadratures with multiple nodes, Moments, Orthogonal polynomials, Nodes, power-orthogonal polynomials, Gaussian quadrature formulas, Cotes numbers, Other special orthogonal polynomials and functions, quadrature formulas, Extremal polynomial, algorithms, Numerical quadrature and cubature formulas, 01 natural sciences, Gauss–Turán-type quadratures, Numerical computation using splines, moment-preserving spline approximation, Weights, Nonnegative measure, 0101 mathematics, multiple nodes, Spline defect, s- and σ-orthogonal polynomials, Spline function, Applied Mathematics, Stieltjes procedure, stability, Approximate quadratures, Computational Mathematics, Error term, Chebyshev polynomials, Convergence, Degree of precision
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
0377-0427
DOI:
10.1016/s0377-0427(00)00500-8
Access URL:
https://www.sciencedirect.com/science/article/pii/S0377042700005008
http://www.mi.sanu.ac.rs/~gvm/radovi/gvm-fin.pdf
https://ui.adsabs.harvard.edu/abs/2001JCoAM.127..267M/abstract
https://dialnet.unirioja.es/servlet/articulo?codigo=725165
https://www.sciencedirect.com/science/article/abs/pii/S0377042700005008
http://www.mi.sanu.ac.rs/~gvm/radovi/gvm-fin.pdf
https://ui.adsabs.harvard.edu/abs/2001JCoAM.127..267M/abstract
https://dialnet.unirioja.es/servlet/articulo?codigo=725165
https://www.sciencedirect.com/science/article/abs/pii/S0377042700005008
Rights:
Elsevier Non-Commercial
Accession Number:
edsair.doi.dedup.....0e0afe309f042d28c74bcbe0b55bd57c
Database:
OpenAIRE
Weitere Informationen
This paper is devoted to quadrature formulas which multiple nodes. First, some properties of power-orthogonal polynomials are presented. Then generalized Gaussian quadrature formulas with multiple nodes, including stable algorithms for numerical construction of the corresponding polynomials and Cotes numbers, are given. Finally, some applications to moment-preserving spline approximation are presented.