Title
Quadrature formulas associated with rational modifications of the Chebyshev weight functions
Abstract
Making use of the connection between quadrature formulas on the unit circle and the interval [-1, 1] recently established in [1], explicit expressions for the nodes and the weights of the Gaussian formulas associated with rational modifications of the Chebyshev weight functions, are given. Some illustrative numerical examples are also presented.
Year
DOI
Venue
2006
10.1016/j.camwa.2005.10.004
Computers & Mathematics with Applications
Keywords
Field
DocType
quadrature formulas,quadrature formula,explicit expression,weight functions,chebyshev weight function,gaussian formula,orthogonal polynomials,unit circle,rational modification,illustrative numerical example,orthogonal polynomial,weight function
Chebyshev polynomials,Gauss–Kronrod quadrature formula,Chebyshev pseudospectral method,Mathematical analysis,Tanh-sinh quadrature,Numerical integration,Clenshaw–Curtis quadrature,Gauss–Jacobi quadrature,Mathematics,Gauss–Laguerre quadrature
Journal
Volume
Issue
ISSN
51
3-4
Computers and Mathematics with Applications
Citations 
PageRank 
References 
4
0.61
2
Authors
3
Name
Order
Citations
PageRank
L. Darius140.61
P. González-Vera2469.45
M. Jiménez Paiz3183.14