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Volumn 9, Issue , 1999, Pages 39-52

Quadrature formulas for rational functions

Author keywords

Interpolatory quadrature formulas; Multipoint Pad type approximants; Orthogonal polynomials; Weight functions

Indexed keywords


EID: 0003807467     PISSN: 10689613     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (4)

References (16)
  • 2
    • 21344479934 scopus 로고
    • Quadrature formulas based on rational interpolation
    • W. VAN ASSCHE AND I. VANHERWEGEN, Quadrature formulas based on rational interpolation, Math. Comp., 61, no. 204 (1993), pp. 765-783.
    • (1993) Math. Comp. , vol.61 , Issue.204 , pp. 765-783
    • Van Assche, W.1    Vanherwegen, I.2
  • 3
    • 0040039970 scopus 로고    scopus 로고
    • Multipoint Padé-type approximants. Exact rate of convergence
    • F. CALA RODRIGUEZ AND G. LOPEZ LAGOMASINO, Multipoint Padé-type approximants. Exact rate of convergence, Constructive Approximation, 14 (1998), pp. 259-272
    • (1998) Constructive Approximation , vol.14 , pp. 259-272
    • Cala Rodriguez, F.1    Lopez Lagomasino, G.2
  • 7
    • 0002539172 scopus 로고
    • Gauss-type quadrature rules for rational functions
    • W. GAUTSCHI, Gauss-type quadrature rules for rational functions, Internat. Ser. Numer. Math., 112 (1993), pp. 111-130.
    • (1993) Internat. Ser. Numer. Math. , vol.112 , pp. 111-130
    • Gautschi, W.1
  • 8
    • 0030587322 scopus 로고    scopus 로고
    • On the convergence of quadrature formulas connected with multipoint Padé-type approximation
    • P. GONZALEZ-VERA, M. JIMENEZ PAIZ, R. ORIVE AND G. LOPEZ LAGOMASINO, On the convergence of quadrature formulas connected with multipoint Padé-type approximation, J. Math. Anal. Appl., 202 (1996), pp. 747-775.
    • (1996) J. Math. Anal. Appl. , vol.202 , pp. 747-775
    • Gonzalez-Vera, P.1    Jimenez Paiz, M.2    Orive, R.3    Lopez Lagomasino, G.4
  • 11
    • 0003801582 scopus 로고
    • Rational Hermite interpolation and quadrature
    • C. SCHNEIDER, Rational Hermite interpolation and quadrature, Internat. Ser. Numer. Math, 112 (1993), pp. 349-357.
    • (1993) Internat. Ser. Numer. Math , vol.112 , pp. 349-357
    • Schneider, C.1
  • 12
    • 0000659481 scopus 로고
    • Properties of interpolatory product integration rules
    • I. H. SLOAN AND E. W. SMITH, Properties of interpolatory product integration rules, SIAM, J. Numer. Anal., 19 (1982), pp. 427-442.
    • (1982) SIAM, J. Numer. Anal. , vol.19 , pp. 427-442
    • Sloan, I.H.1    Smith, E.W.2
  • 13
    • 0000499297 scopus 로고
    • Product integration with the Clenshaw-Curtis and related points: Convergence properties
    • I. H. SLOAN AND E. W. SMITH, Product integration with the Clenshaw-Curtis and related points: convergence properties, Numer. Math., 30 (1978), pp. 415-428.
    • (1978) Numer. Math. , vol.30 , pp. 415-428
    • Sloan, I.H.1    Smith, E.W.2
  • 14
    • 0039863668 scopus 로고
    • Product-integration rules based on the zeros of Jacobipolynomials
    • E. W. SMITH AND I. H. SLOAN, Product-integration rules based on the zeros of Jacobipolynomials, SIAM, J. Numer. Anal., 17 (1980), pp. 1-13.
    • (1980) SIAM, J. Numer. Anal. , vol.17 , pp. 1-13
    • Smith, E.W.1    Sloan, I.H.2
  • 16
    • 0003336252 scopus 로고
    • Interpolation and Approximation by Rational Functions in the Complex Domain
    • Providence, RI
    • J. L. WALSH, Interpolation and Approximation by Rational Functions in the Complex Domain, Amer. Math. Soc. Colloq. Publ., Vol. 20, Providence, RI, 1969.
    • (1969) Amer. Math. Soc. Colloq. Publ. , vol.20
    • Walsh, J.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.