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Volumn 67, Issue 1-2, 1997, Pages 157-174

Estimates for Jacobi—Sobolev type orthogonal polynomials

Author keywords

Asymptotic properties; Orthogonal polynomials; Sobolev type inner products; Zeros, kernels

Indexed keywords


EID: 0001077852     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036819708840602     Document Type: Article
Times cited : (12)

References (19)
  • 1
    • 0000801928 scopus 로고
    • On orthogonal polynomials for Sobolev type: Algebraic properties and zeros
    • Alfaro, M., Marcellán, F., Rezola, M.L., and Ronveaux, A., 1992. On orthogonal polynomials for Sobolev type: Algebraic properties and zeros. SIAM J. Math. Anal, 23: 737–757.
    • (1992) SIAM J. Math. Anal , vol.23 , pp. 737-757
    • Alfaro, M.1    Marcellán, F.2    Rezola, M.L.3    Ronveaux, A.4
  • 2
  • 3
    • 0003863978 scopus 로고
    • Orthogonal polynomials with respect to a symmetric inner product involving derivatives
    • Bavinck, H., and Meijer, H.G., 1989. Orthogonal polynomials with respect to a symmetric inner product involving derivatives. Applicable Analysis, 33: 103–117.
    • (1989) Applicable Analysis , vol.33 , pp. 103-117
    • Bavinck, H.1    Meijer, H.G.2
  • 4
    • 0041014054 scopus 로고
    • On orthogonal polynomials with respect to an inner product involving derivatives: zeros and recurrence relations
    • Bavinck, H., and Meijer, H.G., 1990. On orthogonal polynomials with respect to an inner product involving derivatives: zeros and recurrence relations. Indag. Math. (N.S), 1: 7–14.
    • (1990) Indag. Math. (N.S) , vol.1 , pp. 7-14
    • Bavinck, H.1    Meijer, H.G.2
  • 5
    • 0003513286 scopus 로고
    • Approximations spectrales de problèmes aux limites elliptiques
    • Bernardi, C., and Maday, Y., 1992. Approximations spectrales de problèmes aux limites elliptiques. Mathèmatiques et Applications, 10
    • (1992) Mathèmatiques et Applications , vol.10
    • Bernardi, C.1    Maday, Y.2
  • 6
    • 0003116004 scopus 로고
    • On orthogonal polynomials with respect to a positive definite matrix of measures
    • Durán, A.J., 1995. On orthogonal polynomials with respect to a positive definite matrix of measures. Canad. J. Math, 47: 82–112.
    • (1995) Canad. J. Math , vol.47 , pp. 82-112
    • Durán, A.J.1
  • 7
    • 0003855616 scopus 로고
    • Orthogonal Polynomials and Spectral Theory: a survey, in Orthogonal Polynomials and their applications
    • Brezinski C., (ed), Basel: J.C. Baltzer, and,. Edited by
    • Everitt, W.N., and Littlejohn, L.L., 1991. “ Orthogonal Polynomials and Spectral Theory: a survey, in Orthogonal Polynomials and their applications ”. In IMACS Annals on Computational and Applied Mathematis Edited by: Brezinski, C., Vol. 9, 21–55. Basel J.C. Baltzer
    • (1991) IMACS Annals on Computational and Applied Mathematis , vol.9 , pp. 21-55
    • Everitt, W.N.1    Littlejohn, L.L.2
  • 9
    • 0000176933 scopus 로고    scopus 로고
    • Bispectral Darboux Transformations: An extension of the Krall Polynomials
    • Guünbaum, F.A., and Heine, L., 1997. Bispectral Darboux Transformations: An extension of the Krall Polynomials. Intternational Mathematics Research Notices, 8: 359–392.
    • (1997) Intternational Mathematics Research Notices , vol.8 , pp. 359-392
    • Guünbaum, F.A.1    Heine, L.2
  • 10
    • 84976155239 scopus 로고
    • Asymptotic behaviour of orthogonal polynomials relative to measures with mass points
    • Guadalupe, J.J., Pérez, M., Ruiz, F.J., and Varona, J.L., 1993. Asymptotic behaviour of orthogonal polynomials relative to measures with mass points. Mathematika, 40: 278–331.
    • (1993) Mathematika , vol.40 , pp. 278-331
    • Guadalupe, J.J.1    Pérez, M.2    Ruiz, F.J.3    Varona, J.L.4
  • 11
    • 0043132528 scopus 로고
    • Orthogonality and Approximation in a Sobolev Space
    • Masaon J.C., Cox M.G., (eds), Chapman and Hall, London: and,. Edited by
    • Iserles, A., Koch, P.E., Nørsett, S.P., and Sanz-Serna, J.M., 1990. “ Orthogonality and Approximation in a Sobolev Space ”. In in Algorithms for Approximations Edited by: Masaon, J.C., and Cox, M.G., 117–124. Chapman and Hall, London
    • (1990) Algorithms for Approximations , pp. 117-124
    • Iserles, A.1    Koch, P.E.2    Nørsett, S.P.3    Sanz-Serna, J.M.4
  • 12
    • 0000985270 scopus 로고
    • Polynomial least square approximations
    • Lewis, D.C., 1947. Polynomial least square approximations. Amer. J. Math, 69: 273–344.
    • (1947) Amer. J. Math , vol.69 , pp. 273-344
    • Lewis, D.C.1
  • 13
    • 21844482532 scopus 로고
    • Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product
    • López, G., Marcell´n, F., and Van Assche, W., 1995. Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product. Constr. Approx, 11: 107–137.
    • (1995) Constr. Approx , vol.11 , pp. 107-137
    • López, G.1    Marcell´n, F.2    Van Assche, W.3
  • 14
    • 0001274622 scopus 로고
    • Relative asymptotics for orthogonal polynomials with a Sobolev inner product
    • Marcellán, F., and Van Assche, W., 1992. Relative asymptotics for orthogonal polynomials with a Sobolev inner product. J. Approx. Theory, 72: 192–209.
    • (1992) J. Approx. Theory , vol.72 , pp. 192-209
    • Marcellán, F.1    Van Assche, W.2
  • 16
    • 0011680525 scopus 로고
    • Szegö's extremum problem on the unit circle
    • Máté, A., Nevai, P.G., and Totik, V., 1991. Szegö's extremum problem on the unit circle. Ann. Math, 134: 433–453.
    • (1991) Ann. Math , vol.134 , pp. 433-453
    • Máté, A.1    Nevai, P.G.2    Totik, V.3
  • 17
    • 0000956929 scopus 로고
    • Orthogonal Polynomials
    • Amer. Math. Soc
    • Nevai, P.G., 1979. Orthogonal Polynomials. Memoirs Amer. Math. Soc, 213 Amer. Math. Soc.
    • (1979) Memoirs Amer. Math. Soc , vol.213
    • Nevai, P.G.1
  • 18
    • 0004073954 scopus 로고
    • Orthogonal Polynomials
    • Providence, RI: Amer. Math. Soc,. In
    • Szegö, G., 1975. “ Orthogonal Polynomials ”. In Amer. Math. Soc. Colloq. Pub. Vol. 23, Providence, RI Amer. Math. Soc
    • (1975) Amer. Math. Soc. Colloq. Pub. , vol.23
    • Szegö, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.