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Volumn 5, Issue 1, 1996, Pages 297-328

Some results about numerical quadrature on the unit circle

Author keywords

Distribution functions; Integration rules; Interpolation nodes; Szeg polynomials

Indexed keywords


EID: 0040655421     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02124749     Document Type: Article
Times cited : (46)

References (22)
  • 1
    • 0002308243 scopus 로고
    • A survey of Gauss-Christoffel quadrature formulae
    • E.B. Christoffel; eds. P.L. Butzer and F. Fehér, Birkhäuser, Basel
    • W. Gautschi, A survey of Gauss-Christoffel quadrature formulae, in E.B. Christoffel; The Influence of his Work in Mathematics and the Physical Sciences, eds. P.L. Butzer and F. Fehér, Birkhäuser, Basel (1981) pp. 72-147.
    • (1981) The Influence of His Work in Mathematics and the Physical Sciences , pp. 72-147
    • Gautschi, W.1
  • 2
    • 84963011752 scopus 로고
    • Moment theory, orthogonal polynomials, quadrature and continued fractions associated with the unit circle
    • W.B. Jones, O. Njåstad and W.J. Thron, Moment theory, orthogonal polynomials, quadrature and continued fractions associated with the unit circle, Bull. London Math. Soc. 21 (1989) 113-152.
    • (1989) Bull. London Math. Soc. , vol.21 , pp. 113-152
    • Jones, W.B.1    Njåstad, O.2    Thron, W.J.3
  • 5
  • 9
    • 0013018604 scopus 로고
    • A Szegö quadrature formula for the Poisson integral
    • eds. C. Brezinski and U. Kulish Elsevier Science Publishers B.V., North-Holland
    • H. Waadeland, A Szegö quadrature formula for the Poisson integral, Comp. and Appl. Math. I, eds. C. Brezinski and U. Kulish (Elsevier Science Publishers B.V., North-Holland, 1992) 479-486.
    • (1992) Comp. and Appl. Math. I , pp. 479-486
    • Waadeland, H.1
  • 13
    • 0023378741 scopus 로고
    • On certain applications of two-point Padé-type approximants
    • P. González-Vera, On certain applications of two-point Padé-type approximants, J. of Computational and Appl. Maths, vol 19 (1) (1987) pp. 151-160.
    • (1987) J. of Computational and Appl. Maths , vol.19 , Issue.1 , pp. 151-160
    • González-Vera, P.1
  • 16
    • 0000278867 scopus 로고
    • Positive definite Toeplilz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle
    • W.B. Gragg, Positive definite Toeplilz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle, J. of Comput. and Appl. Math. 46 (1993) 183-198.
    • (1993) J. of Comput. and Appl. Math. , vol.46 , pp. 183-198
    • Gragg, W.B.1
  • 17
    • 0012713645 scopus 로고
    • Interpolatory integration rules and orthogonal polynomials with varying weights
    • T. Bloom, D.S. Lubinsky and H. Stahl, Interpolatory integration rules and orthogonal polynomials with varying weights, Numerical Algorithms 3 (1992) 55-66.
    • (1992) Numerical Algorithms , vol.3 , pp. 55-66
    • Bloom, T.1    Lubinsky, D.S.2    Stahl, H.3
  • 20
    • 0040684102 scopus 로고
    • Orthogonal polynomials and rational modifications of measures
    • E. Godoy and F. Marcellán, Orthogonal polynomials and rational modifications of measures, Can. J. Math, vol 45 (5) (1993) pp. 930-943.
    • (1993) Can. J. Math , vol.45 , Issue.5 , pp. 930-943
    • Godoy, E.1    Marcellán, F.2
  • 22
    • 23944474947 scopus 로고
    • On the integration of periodic analytic functions
    • ed. R.E. Langer Univ. Wisconsin Press, Madison
    • P.J. Davis, On the integration of periodic analytic functions, On Numerical Approximation, ed. R.E. Langer (Univ. Wisconsin Press, Madison, 1950) pp. 45-59.
    • (1950) On Numerical Approximation , pp. 45-59
    • Davis, P.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.