Positive trigonometric quadrature formulas and quadrature on the unit circle

We give several descriptions of positive quadrature formulas which are exact for trigonometric-, respectively, Laurent polynomials of degree less or equal to n-1-m 0\leq m\leq n-1

Saved in:
Bibliographic Details
Published in:Mathematics of computation 2011-07, Vol.80 (275), p.1685-1701
Main Author: PEHERSTORFER, FRANZ
Format: Article
Language:English
Subjects:
Algebra
Coefficients
Cots
Degrees of polynomials
Difference and functional equations, recurrence relations
Exact sciences and technology
Fourier analysis
Mathematical analysis
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis
Numerical analysis. Scientific computation
Numerical quadratures
Orthogonality
Polynomials
Recurrence relations
Sciences and techniques of general use
Sine function
Special functions
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We give several descriptions of positive quadrature formulas which are exact for trigonometric-, respectively, Laurent polynomials of degree less or equal to n-1-m 0\leq m\leq n-1
ISSN:0025-5718
1088-6842
DOI:10.1090/S0025-5718-2011-02414-2