The remainder term for analytic functions of Gauss-Lobatto quadratures

Journal of Computational and Applied Mathematics

Volumn 76, Issue 1-2, 1996, Pages 171-193

  Schira, Thomas ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Contour integral representation; Gauss Lobatto quadrature rule; Kernel function; Remainder term for analytic functions

Indexed keywords

INTEGRAL EQUATIONS; MATHEMATICAL MODELS;

CHEBYSHEV WEIGHT FUNCTIONS; COMPLEX KERNELS; CONTOUR INTEGRAL REPRESENTATION; ELLIPSES; ELLIPTIC CONTOURS; GAUSS-LOBATTO QUADRATURE RULE; KERNEL FUNCTIONS; MAXIMUM MODULUS; REMAINDER TERMS;

FUNCTIONS;

EID: 0030392073     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(96)00100-8     Document Type: Article

References (11)

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3. W. Gautschi, On the remainder term for analytic functions of Gauss-Lobatto and Gauss-Radau quadratures, Rocky Mt. J. Math. 21 (1991) 209-226. Corrected in W. Gautschi, Rocky Mt. J. Math. 21 (1991) 1143.
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8. V.I. Krylov, Approximate Calculation of Integrals, ACM Monograph Series (Macmillan, New York, 1962).
9. T. Schira, Ableitungsfreie Fehlerabschätzungen bei numerischer Integration holomorpher Funktionen, Ph.D. Dissertation, Univ. Karlsruhe, 1994.
10. T. Schira, The remainder term for analytic functions of symmetric Gaussian quadratures, Math. Comput., to appear.
11. G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ. 23 (Amer. Mathematical Soc., Providence, RI, 4th ed., 1975).