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Volumn 100, Issue 1, 1999, Pages 44-59

Asymptotic properties of balanced extremal Sobolev polynomials: Coherent case

Author keywords

Asymptotics; Coherent pairs of measures; Sobolev orthogonal polynomials

Indexed keywords


EID: 0033192377     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1998.3336     Document Type: Article
Times cited : (10)

References (13)
  • 1
    • 0000985270 scopus 로고
    • Polynomial least square approximations
    • D. C. Lewis, Polynomial least square approximations, Amer. J. Math. 69 (1947), 273-278.
    • (1947) Amer. J. Math. , vol.69 , pp. 273-278
    • Lewis, D.C.1
  • 2
    • 21844482532 scopus 로고
    • Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product
    • G. López, F. Marcellán, and W. Van Assche, Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product, Constr. Approx. 11 (1995), 107-137.
    • (1995) Constr. Approx. , vol.11 , pp. 107-137
    • López, G.1    Marcellán, F.2    Van Assche, W.3
  • 3
    • 0001274622 scopus 로고
    • Relative asymptotics for orthogonal polynomials with a Sobolev inner product
    • F. Marcellán and W. Van Assche, Relative asymptotics for orthogonal polynomials with a Sobolev inner product, J. Approx. Theory 72 (1993), 193-209.
    • (1993) J. Approx. Theory , vol.72 , pp. 193-209
    • Marcellán, F.1    Van Assche, W.2
  • 4
    • 85030068334 scopus 로고    scopus 로고
    • Bernstein-Szego's theorem for Sobolev orthogonal polynomials
    • in press
    • A. Martínez-Finkelshtein, Bernstein-Szego's theorem for Sobolev orthogonal polynomials, Constr. Approx., in press.
    • Constr. Approx.
    • Martínez-Finkelshtein, A.1
  • 7
    • 0031161776 scopus 로고    scopus 로고
    • Determination of all coherent pairs
    • H. G. Meijer, Determination of all coherent pairs, J. Approx. Theory 89 (1997), 321-343.
    • (1997) J. Approx. Theory , vol.89 , pp. 321-343
    • Meijer, H.G.1
  • 12
    • 0003199229 scopus 로고
    • "orthogonal polynomials,"4th ed.
    • Amer. Math. Soc., Providence, RI
    • G. Szego, "orthogonal polynomials," 4th ed., Amer. Math. Soc. Colloq. Publ., Vol. 23, Amer. Math. Soc., Providence, RI, 1975.
    • (1975) Amer. Math. Soc. Colloq. Publ. , vol.23
    • Szego, G.1
  • 13
    • 0002059690 scopus 로고
    • Extremal polynomials associated with a system of curves in the complex plane
    • H. Widom, Extremal polynomials associated with a system of curves in the complex plane, Adv. Math. 3, No. 2 (1969), 127-232.
    • (1969) Adv. Math. , vol.3 , Issue.2 , pp. 127-232
    • Widom, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.