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Volumn 95, Issue 1, 1998, Pages 123-145

Lagrange Interpolation and Quadrature Formula in Rational Systems

(1)  Min, G a  

a NONE

Author keywords

Lagrange interpolation; rational system; Lebesgue constant; quadrature formula; Chebyshev polynomials

Indexed keywords


EID: 0001009838     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1997.3214     Document Type: Article
Times cited : (9)

References (18)
  • 2
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    • (1990) J. Approx. Theory , vol.63 , pp. 56-64
    • Borwein, P.1
  • 3
    • 58149363572 scopus 로고
    • Dense Markov space and unbounded Bernstein inequalities
    • Borwein P., Erdélyi T. Dense Markov space and unbounded Bernstein inequalities. J. Approx. Theory. 81:1995;66-77.
    • (1995) J. Approx. Theory , vol.81 , pp. 66-77
    • Borwein, P.1    Erdélyi, T.2
  • 5
    • 84962985031 scopus 로고
    • Chebyshev polynomials and Markov-Bernstein type inequalities for the rational space
    • Borwein P., Erdélyi T., Zhang J. Chebyshev polynomials and Markov-Bernstein type inequalities for the rational space. J. London Math. Soc. 50:1994;501-519.
    • (1994) J. London Math. Soc. , vol.50 , pp. 501-519
    • Borwein, P.1    Erdélyi, T.2    Zhang, J.3
  • 6
    • 0040071522 scopus 로고
    • Orthogonal rational functions similar to Szegö polynomials
    • C. Brezinski, L. Gori, & A. Ronveaux. New York: Scientific Publishing Co.
    • Bultheel A., González-Vera P., Hendriksen E., Njastad O. Orthogonal rational functions similar to Szegö polynomials. Brezinski C., Gori L., Ronveaux A. Orthogonal Polynomials and Their Applications. 1991;195-204 Scientific Publishing Co. New York.
    • (1991) Orthogonal Polynomials and Their Applications , pp. 195-204
    • Bultheel, A.1    González-Vera, P.2    Hendriksen, E.3    Njastad, O.4
  • 7
    • 0002596392 scopus 로고
    • A survey on the theory of orthogonal systems and some open problems
    • P. Nevai. Dordrecht/Norwell: Kluwer Academic
    • Djrbashian M. M. A survey on the theory of orthogonal systems and some open problems. Nevai P. Orthogonal Polynomials: Theory and Practice. NATO-ASI Series. 1990;135-146 Kluwer Academic, Dordrecht/Norwell.
    • (1990) Orthogonal Polynomials: Theory and Practice. NATO-ASI Series , pp. 135-146
    • Djrbashian, M.M.1
  • 9
    • 0002539172 scopus 로고
    • Gauss-type quadrature rules for rational functions
    • H. Brass, & G. Hammerlin. Basel: Birkhäuser
    • Gautschi W. Gauss-type quadrature rules for rational functions. Brass H., Hammerlin G. International Series of Numerical Mathematics. 1993;111-130 Birkhäuser, Basel.
    • (1993) International Series of Numerical Mathematics , pp. 111-130
    • Gautschi, W.1
  • 10
    • 0027544727 scopus 로고
    • On the computation of generalized Fermi-Dirac and Bose-Einstein integrals
    • Gautschi W. On the computation of generalized Fermi-Dirac and Bose-Einstein integrals. Comput. Phys. Comm. 74:1993;233-238.
    • (1993) Comput. Phys. Comm. , vol.74 , pp. 233-238
    • Gautschi, W.1
  • 12
    • 0039479782 scopus 로고
    • On the distribution of extremal points of general Chebyshev polynomials
    • Kroó A., Peherstorfer F. On the distribution of extremal points of general Chebyshev polynomials. Trans. Amer. Math. Soc. 329:1992;117-130.
    • (1992) Trans. Amer. Math. Soc. , vol.329 , pp. 117-130
    • Kroó, A.1    Peherstorfer, F.2
  • 17
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    • Quadrature formulas based on rational interpolation
    • Van Assche W., Vanherwegen I. Quadrature formulas based on rational interpolation. Math. Comp. 61:1993;765-783.
    • (1993) Math. Comp. , vol.61 , pp. 765-783
    • Van Assche, W.1    Vanherwegen, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.