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Volumn 17, Issue 1, 1998, Pages 183-205

On generating orthogonal polynomials for discrete measures

Author keywords

Orthogonal polynomials; Stieltjes procedure

Indexed keywords


EID: 21944451375     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: 10.4171/ZAA/815     Document Type: Article
Times cited : (12)

References (17)
  • 1
    • 0003851731 scopus 로고
    • Pocketbook of Mathematical Functions
    • Thun/Frankfurt am Main: Verlag Harri Deutsch
    • Abramowitz, M. and I. Stegun (eds.): Pocketbook of Mathematical Functions (Abridget edition of: Handbook of Mathematical Functions). Thun/Frankfurt am Main: Verlag Harri Deutsch 1984.
    • (1984) Handbook of Mathematical Functions
    • Abramowitz, M.1    Stegun, I.2
  • 2
    • 0012779109 scopus 로고
    • Orthogonal polynomials, Padé approximations and Julia sets
    • Orthogonal Polynomials, Theory and Practice ed.: P. Nevai. Dordrecht - Boston - London: Kluwer Acad. Publ.
    • Bessis, D.: Orthogonal polynomials, Padé approximations and Julia sets. In: Orthogonal Polynomials, Theory and Practice (NATO ASI Series C: Vol. 294; ed.: P. Nevai). Dordrecht - Boston - London: Kluwer Acad. Publ. 1990, pp. 55-97.
    • (1990) NATO ASI Series C , vol.294 , pp. 55-97
    • Bessis, D.1
  • 4
    • 26444532210 scopus 로고
    • Recurrence coefficients of orthogonal polynomials with respect to some self-similar singular distributions
    • Fischer, H.-J.: Recurrence coefficients of orthogonal polynomials with respect to some self-similar singular distributions. Z. Anal. Anw. 14 (1995), 141-155.
    • (1995) Z. Anal. Anw. , vol.14 , pp. 141-155
    • Fischer, H.-J.1
  • 5
    • 0040968551 scopus 로고    scopus 로고
    • On the condition of orthogonal polynomials via modified moments
    • Fischer, H.-J.: On the condition of orthogonal polynomials via modified moments. Z. Anal. Anw. 15 (1996), 223-244.
    • (1996) Z. Anal. Anw. , vol.15 , pp. 223-244
    • Fischer, H.-J.1
  • 7
    • 0008494990 scopus 로고
    • Questions of numerical condition related to polynomials
    • (eds.: C. de Boor and G. H. Golub). New York: Acad. Press
    • Gautschi, W.: Questions of numerical condition related to polynomials. In: Recent Advances in Numerical Analysis (eds.: C. de Boor and G. H. Golub). New York: Acad. Press 1978.
    • (1978) Recent Advances in Numerical Analysis
    • Gautschi, W.1
  • 8
    • 0001505159 scopus 로고
    • On generating orthogonal polynomials
    • Gautschi, W.: On generating orthogonal polynomials. SIAM J. SCI. STAT. COMP. 3 (1982), 289-317.
    • (1982) Siam J. Sci. Stat. Comp. , vol.3 , pp. 289-317
    • Gautschi, W.1
  • 9
    • 0008495563 scopus 로고
    • On the sensitivity of orthogonal polynomials to perturbations in the moments
    • Gautschi, W.: On the sensitivity of orthogonal polynomials to perturbations in the moments. Numer. Math. 48 (1986), 369-382.
    • (1986) Numer. Math. , vol.48 , pp. 369-382
    • Gautschi, W.1
  • 10
    • 0008490343 scopus 로고
    • Computational aspects of orthogonal polynomials
    • Orthogonal Polynomials, Theory and Practice ed.: P. Nevai. Dordrecht -Boston - London: Kluwer Acad. Publ.
    • Gautschi, W.: Computational aspects of orthogonal polynomials. In: Orthogonal Polynomials, Theory and Practice (NATO ASI Series C: Vol. 294; ed.: P. Nevai). Dordrecht -Boston - London: Kluwer Acad. Publ. 1990, pp. 181-216.
    • (1990) NATO ASI Series C , vol.294 , pp. 181-216
    • Gautschi, W.1
  • 11
    • 17544377846 scopus 로고
    • Is the recurrence relation for orthogonal polynomials always stable?
    • Gautschi, W.: Is the recurrence relation for orthogonal polynomials always stable? BIT 33 (1993), 277-284.
    • (1993) BIT , vol.33 , pp. 277-284
    • Gautschi, W.1
  • 12
    • 0028388229 scopus 로고
    • Algorithm 726: ORTHPOL - A package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
    • Gautschi, W.: Algorithm 726: ORTHPOL - A package of routines for generating orthogonal polynomials and Gauss-type quadrature rules. ACM Trans. Math. Software 20 (1994), 21-62.
    • (1994) ACM Trans. Math. Software , vol.20 , pp. 21-62
    • Gautschi, W.1
  • 13
    • 0001190030 scopus 로고
    • The numerically stable reconstruction of Jacobi matrices from spectral data
    • Gragg, W. B. and W. J. Harrod: The numerically stable reconstruction of Jacobi matrices from spectral data. Numer. Math. 44 (1984), 317-335.
    • (1984) Numer. Math. , vol.44 , pp. 317-335
    • Gragg, W.B.1    Harrod, W.J.2
  • 14
    • 38149146042 scopus 로고
    • Markov's inequality and zeros of orthogonal polynomials on fractal sets
    • Jonsson, A.: Markov's inequality and zeros of orthogonal polynomials on fractal sets. J. Approx. Theory 78 (1994), 87-97.
    • (1994) J. Approx. Theory , vol.78 , pp. 87-97
    • Jonsson, A.1
  • 16
    • 0000956929 scopus 로고
    • Orthogonal Polynomials
    • Nevai, P.: Orthogonal Polynomials Mem. Amer. Math Soc. 18 (1979), No. 213.
    • (1979) Mem. Amer. Math Soc. , vol.18 , Issue.213
    • Nevai, P.1
  • 17
    • 0013181076 scopus 로고
    • Construction of polynomials that are orthogonal with respect to a discrete bilinear form
    • Reichel, L.: Construction of polynomials that are orthogonal with respect to a discrete bilinear form. Adv. Comput. Math. 1 (1993), 241-258.
    • (1993) Adv. Comput. Math. , vol.1 , pp. 241-258
    • Reichel, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.