메뉴 건너뛰기




Volumn 53, Issue 1, 2005, Pages 39-56

On the convergence of two-point partial Padé approximants for meromorphic functions of Stieltjes type

Author keywords

Orthogonal polynomials; Pad approximants; Rate of convergence; Stieltjes functions; Weight functions

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; INTEGRATION; INTERPOLATION; POLYNOMIALS; SET THEORY;

EID: 13644254736     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2004.10.001     Document Type: Article
Times cited : (12)

References (30)
  • 1
    • 0001275932 scopus 로고
    • Effective conductivity for densely packed highly conducting cylinders
    • I.V. Andrianov, J. Blawzdziewicz, and S. Tokarzewski Effective conductivity for densely packed highly conducting cylinders Appl. Phys. A 59 1994 601 604
    • (1994) Appl. Phys. A , vol.59 , pp. 601-604
    • Andrianov, I.V.1    Blawzdziewicz, J.2    Tokarzewski, S.3
  • 2
    • 0002906843 scopus 로고    scopus 로고
    • New trend in asymptotic approaches: Summation and interpolation methods
    • I.V. Andrianov, and J. Awrejcewicz New trend in asymptotic approaches: Summation and interpolation methods Appl. Mech. Rev. 54 1 2001 69 92
    • (2001) Appl. Mech. Rev. , vol.54 , Issue.1 , pp. 69-92
    • Andrianov, I.V.1    Awrejcewicz, J.2
  • 4
    • 36149005949 scopus 로고
    • High-temperature series expansions for the spin-1/2 Heisenberg model by the method of irreducible representations of the symmetric group
    • G.A. Baker, G.S. Rushbrooke, and H.E. Gilbert High-temperature series expansions for the spin- 1 2 Heisenberg model by the method of irreducible representations of the symmetric group Phys. Rev. (2) 135 1964 1272 1277
    • (1964) Phys. Rev. (2) , vol.135 , pp. 1272-1277
    • Baker, G.A.1    Rushbrooke, G.S.2    Gilbert, H.E.3
  • 6
    • 38249028092 scopus 로고
    • Partial Padé approximation
    • C. Brezinski Partial Padé approximation J. Approx. Theory 54 1988 210 283
    • (1988) J. Approx. Theory , vol.54 , pp. 210-283
    • Brezinski, C.1
  • 8
    • 0002301695 scopus 로고
    • Quadrature on the half line and two-point Padé approximants to Stieltjes functions. Part I. Algebraic aspects
    • A. Bultheel, P. González-Vera, and R. Orive Quadrature on the half line and two-point Padé approximants to Stieltjes functions. Part I. Algebraic aspects J. Comput. Appl. Math. 65 1995 57 72
    • (1995) J. Comput. Appl. Math. , vol.65 , pp. 57-72
    • Bultheel, A.1    González-Vera, P.2    Orive, R.3
  • 9
    • 0030785278 scopus 로고    scopus 로고
    • Quadrature on the half line and two-point Padé approximants to Stieltjes functions. Part II. Convergence
    • A. Bultheel, C. Díaz-Mendoza, P. González-Vera, and R. Orive Quadrature on the half line and two-point Padé approximants to Stieltjes functions. Part II. Convergence J. Comput. Appl. Math. 77 1997 53 76
    • (1997) J. Comput. Appl. Math. , vol.77 , pp. 53-76
    • Bultheel, A.1    Díaz-Mendoza, C.2    González-Vera, P.3    Orive, R.4
  • 10
    • 0034386038 scopus 로고    scopus 로고
    • On the convergence of certain Gauss-type quadrature formulas for unbounded intervals
    • A. Bultheel, C. Díaz-Mendoza, R. González-Vera, and P. Orive On the convergence of certain Gauss-type quadrature formulas for unbounded intervals Math. Comp. 69 2000 721 747
    • (2000) Math. Comp. , vol.69 , pp. 721-747
    • Bultheel, A.1    Díaz-Mendoza, C.2    González-Vera, R.3    Orive, P.4
  • 12
    • 0011691724 scopus 로고
    • Orthogonal Laurent-polynomials and continued fractions associated with log-normal distributions
    • S.C. Cooper, W.B. Jones, and W.J. Thron Orthogonal Laurent-polynomials and continued fractions associated with log-normal distributions J. Comput. Appl. Math. 32 1990 39 46
    • (1990) J. Comput. Appl. Math. , vol.32 , pp. 39-46
    • Cooper, S.C.1    Jones, W.B.2    Thron, W.J.3
  • 13
    • 0040361023 scopus 로고    scopus 로고
    • On the convergence of two-point Padé-type approximants
    • C. Díaz-Mendoza, P. González-Vera, and R. Orive On the convergence of two-point Padé-type approximants Numer. Math. 72 1996 295 312
    • (1996) Numer. Math. , vol.72 , pp. 295-312
    • Díaz-Mendoza, C.1    González-Vera, P.2    Orive, R.3
  • 14
    • 13644270626 scopus 로고    scopus 로고
    • Strong Stieltjes distributions and orthogonal Laurent polynomials with applications to quadratures and Padé approximation
    • in press
    • C. Díaz-Mendoza, P. González-Vera, M. Jiménez- Páiz, Strong Stieltjes distributions and orthogonal Laurent polynomials with applications to quadratures and Padé approximation, Math. Comp., in press
    • Math. Comp.
    • Díaz-Mendoza, C.1    González-Vera, P.2    Jiménez-Páiz, M.3
  • 15
    • 0012769770 scopus 로고
    • Polynomes Orthogonaux Formels. Applications
    • Springer Berlin
    • A. Draux Polynomes Orthogonaux Formels. Applications Lecture Notes in Mathematics vol. 974 1983 Springer Berlin
    • (1983) Lecture Notes in Mathematics , vol.974
    • Draux, A.1
  • 17
    • 84956064235 scopus 로고
    • On the convergence of generalized Padé approximants of meromorphic functions
    • A.A. Gonchar On the convergence of generalized Padé approximants of meromorphic functions Math. USSR Sb. 27 1975 503 514
    • (1975) Math. USSR Sb. , vol.27 , pp. 503-514
    • Gonchar, A.A.1
  • 18
    • 84956112010 scopus 로고
    • On convergence of Padé approximants for some classes of meromorphic functions
    • A.A. Gonchar On convergence of Padé approximants for some classes of meromorphic functions Math. USSR Sb. 26 1975 555 575
    • (1975) Math. USSR Sb. , vol.26 , pp. 555-575
    • Gonchar, A.A.1
  • 20
    • 0039964298 scopus 로고
    • Christoffel functions, orthogonal polynomials and Nevai's conjecture for Freud weights
    • A.L. Levin, and D.S. Lubinsky Christoffel functions, orthogonal polynomials and Nevai's conjecture for Freud weights Constr. Approx. 8 1992 463 535
    • (1992) Constr. Approx. , vol.8 , pp. 463-535
    • Levin, A.L.1    Lubinsky, D.S.2
  • 21
    • 0039206874 scopus 로고
    • On the convergence of Padé approximants for meromorphic functions of Stieltjes type
    • [G. López L.] G. Lopes On the convergence of Padé approximants for meromorphic functions of Stieltjes type Math. USSR Sb. 39 1981 281 288
    • (1981) Math. USSR Sb. , vol.39 , pp. 281-288
    • Lopes, G.1
  • 22
    • 0000679057 scopus 로고
    • Convergence of Padé approximants of Stieltjes type meromorphic functions and comparative asymptotics for orthogonal polynomials
    • [G. López L.] G. Lopes Convergence of Padé approximants of Stieltjes type meromorphic functions and comparative asymptotics for orthogonal polynomials Math. USSR Sb. 64 1989 207 227
    • (1989) Math. USSR Sb. , vol.64 , pp. 207-227
    • Lopes, G.1
  • 23
    • 21844496559 scopus 로고
    • Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials
    • G. López Lagomasino, and A. Martínez Finkelshtein Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials Constr. Approx. 11 1995 255 286
    • (1995) Constr. Approx. , vol.11 , pp. 255-286
    • López Lagomasino, G.1    Martínez Finkelshtein, A.2
  • 24
    • 0002530588 scopus 로고
    • A proof of Freud's conjecture for exponential weights
    • D.S. Lubinsky, H.N. Mhaskar, and E.B. Saff A proof of Freud's conjecture for exponential weights Constr. Approx. 4 1989 65 83
    • (1989) Constr. Approx. , vol.4 , pp. 65-83
    • Lubinsky, D.S.1    Mhaskar, H.N.2    Saff, E.B.3
  • 26
    • 84927422866 scopus 로고
    • On asymptotic properties of polynomials orthogonal on the real axis
    • E.A. Rakhmanov On asymptotic properties of polynomials orthogonal on the real axis Math. USSR Sb. 47 1984 155 193
    • (1984) Math. USSR Sb. , vol.47 , pp. 155-193
    • Rakhmanov, E.A.1
  • 27
    • 0040553431 scopus 로고
    • On the divergence of certain Padé approximants and the behaviour of the associated orthogonal polynomials
    • Springer Berlin
    • H. Stahl On the divergence of certain Padé approximants and the behaviour of the associated orthogonal polynomials Lecture Notes in Mathematics vol. 1171 1985 Springer Berlin 321 330
    • (1985) Lecture Notes in Mathematics , vol.1171 , pp. 321-330
    • Stahl, H.1
  • 28
    • 0002593008 scopus 로고
    • Recherches sur les fractions continues
    • T.J. Stieltjes Recherches sur les fractions continues Ann. Fac. Sci. Toulouse 8 1894 J76-J122; T.J. Stieltjes Recherches sur les fractions continues Ann. Fac. Sci. Toulouse 9 1895 A5-A47
    • (1894) Ann. Fac. Sci. Toulouse , vol.8
    • Stieltjes, T.J.1
  • 29
    • 0002593008 scopus 로고
    • Recherches sur les fractions continues
    • T.J. Stieltjes Recherches sur les fractions continues Ann. Fac. Sci. Toulouse 8 1894 J76-J122; T.J. Stieltjes Recherches sur les fractions continues Ann. Fac. Sci. Toulouse 9 1895 A5-A47
    • (1895) Ann. Fac. Sci. Toulouse , vol.9
    • Stieltjes, T.J.1
  • 30
    • 0016354052 scopus 로고
    • The convergence of Padé approximants and the size of the power series coefficients
    • H. Wallin The convergence of Padé approximants and the size of the power series coefficients Applicable. Anal. 4 3 1974 235 251
    • (1974) Applicable. Anal. , vol.4 , Issue.3 , pp. 235-251
    • Wallin, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.