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Volumn 202, Issue 3, 1996, Pages 747-775

On the convergence of quadrature formulas connected with multipoint Padé-type approximation

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EID: 0030587322     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0345     Document Type: Article
Times cited : (21)

References (16)
  • 2
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    • Gaussian interpolation for complex weight functions
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    • (1978) J. Inst. Maths. Appl. , vol.21 , pp. 165-170
    • Nuttall, J.1    Wherry, C.J.2
  • 3
    • 0023378727 scopus 로고
    • Toeplitz matrix techniques and convergence of complex weight Padé approximants
    • 3. A. P. Magnus, Toeplitz matrix techniques and convergence of complex weight Padé approximants, J. Comput. Appl. Math. 19 (1987), 23-38.
    • (1987) J. Comput. Appl. Math. , vol.19 , pp. 23-38
    • Magnus, A.P.1
  • 5
    • 0001471025 scopus 로고
    • On convergence of Padé approximants for some classes of meromorphic functions
    • in Russian
    • 5. A. A. Gonchar, On convergence of Padé approximants for some classes of meromorphic functions, Mat. Sb. 97, No. 139 (1975), 4 [in Russian]; Math. USSR Sb. 26, No. 4 (1976), 555-575 [Engl. transl.].
    • (1975) Mat. Sb. , vol.97 , Issue.139 , pp. 4
    • Gonchar, A.A.1
  • 6
    • 84956112010 scopus 로고
    • Engl. transl
    • 5. A. A. Gonchar, On convergence of Padé approximants for some classes of meromorphic functions, Mat. Sb. 97, No. 139 (1975), 4 [in Russian]; Math. USSR Sb. 26, No. 4 (1976), 555-575 [Engl. transl.].
    • (1976) Math. USSR Sb. , vol.26 , Issue.4 , pp. 555-575
  • 7
    • 0002863868 scopus 로고
    • Equilibrium measures and the distribution of zeros of extremal polynomials
    • 6. A. A. Gonchar and E. A. Rakhmanov, Equilibrium measures and the distribution of zeros of extremal polynomials, Mat. Sb. 125 (1984), Math. USSR Sb. 53, No. 1 (1986), 119-130 [Engl. Transl.].
    • (1984) Mat. Sb. , vol.125
    • Gonchar, A.A.1    Rakhmanov, E.A.2
  • 8
    • 84956094024 scopus 로고
    • Engl. Transl
    • 6. A. A. Gonchar and E. A. Rakhmanov, Equilibrium measures and the distribution of zeros of extremal polynomials, Mat. Sb. 125 (1984), Math. USSR Sb. 53, No. 1 (1986), 119-130 [Engl. Transl.].
    • (1986) Math. USSR Sb. , vol.53 , Issue.1 , pp. 119-130
  • 12
    • 0003233789 scopus 로고
    • Foundations of modern potential theory
    • Springer-Verlag, New York
    • 10. N. S. Landkof, "Foundations of Modern Potential Theory," Grundlehren der Mathematischen Wissenschaften, Vol. 190, Springer-Verlag, New York, 1972.
    • (1972) Grundlehren der Mathematischen Wissenschaften , vol.190
    • Landkof, N.S.1
  • 14
    • 0003336252 scopus 로고
    • Interpolation and approximation by rational functions in the complex domain
    • Amer. Math. Soc., Providence, RI
    • 12. J. L. Walsh, "Interpolation and Approximation by Rational Functions in the Complex Domain," Colloquium Publications, Vol. 20, Amer. Math. Soc., Providence, RI, 1969.
    • (1969) Colloquium Publications , vol.20
    • Walsh, J.L.1
  • 15
    • 21344479934 scopus 로고
    • Quadrature formulas based on rational interpolation
    • 13. W. Van Assche and I. Vanherwegen, Quadrature formulas based on rational interpolation, Math. Comput. 61, No. 204 (1993), 765-783.
    • (1993) Math. Comput. , vol.61 , Issue.204 , pp. 765-783
    • Van Assche, W.1    Vanherwegen, I.2
  • 16
    • 0002539172 scopus 로고
    • Gauss-type quadrature rules for rational functions
    • "Numerical Integration IV" (H. Brass and G. Hämmerlin, Eds.), Birkhäuser, Basel
    • 14. W. Gautschi, Gauss-type quadrature rules for rational functions, in "Numerical Integration IV" (H. Brass and G. Hämmerlin, Eds.), International Series of Numerical Mathematics, Vol. 112, pp. 111-130, Birkhäuser, Basel, 1993.
    • (1993) International Series of Numerical Mathematics , vol.112 , pp. 111-130
    • Gautschi, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.