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Volumn 16, Issue 1, 2000, Pages 73-84

Bernstein-Szego″'s theorem for Sobolev orthogonal polynomials

Author keywords

Sobolev orthogonal polynomials; Strong asymptotics; Szeg 's condition

Indexed keywords


EID: 0034358479     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003659910003     Document Type: Article
Times cited : (31)

References (14)
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  • 2
    • 0031142515 scopus 로고    scopus 로고
    • Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off a curve
    • R. BENZINE (1997): Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off a curve. J. Approx. Theory, 89:257-265.
    • (1997) J. Approx. Theory , vol.89 , pp. 257-265
    • Benzine, R.1
  • 4
    • 0001590792 scopus 로고    scopus 로고
    • Zeros and critical points of Sobolev orthogonal polynomials
    • W. GAUTSCHI, A. B. J. KUIJLAARS (1997): Zeros and critical points of Sobolev orthogonal polynomials. J. Approx. Theory, 91(1): 117-137.
    • (1997) J. Approx. Theory , vol.91 , Issue.1 , pp. 117-137
    • Gautschi, W.1    Kuijlaars, A.B.J.2
  • 5
    • 38248999755 scopus 로고
    • p extremal polynomials on a complex curve (0 < p < ∞)
    • p extremal polynomials on a complex curve (0 < p < ∞). J. Approx. Theory, 74(2):226-236.
    • (1993) J. Approx. Theory , vol.74 , Issue.2 , pp. 226-236
    • Kaliaguine, V.A.1
  • 6
    • 0001696683 scopus 로고
    • A note on the asymptotics of orthogonal polynomials on a complex arc: The case of a measure with a discrete part
    • V. A. KALIAGUINE (1995): A note on the asymptotics of orthogonal polynomials on a complex arc: The case of a measure with a discrete part. J. Approx. Theory, 80:138-145.
    • (1995) J. Approx. Theory , vol.80 , pp. 138-145
    • Kaliaguine, V.A.1
  • 7
    • 21844482532 scopus 로고
    • Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product
    • G. LÓPEZ, F. MARCELLÁN, W. VAN ASSCHE (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    Marcellán, F.2    Van Assche, W.3
  • 8
    • 0031559386 scopus 로고    scopus 로고
    • Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support
    • F. MARCELLÁN, A. MARTÍNEZ-FINKELSHTEIN, J. J. MORENO-BALCÁZAR (1997): Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support. J. Comput. Appl. Math., 81:217-227.
    • (1997) J. Comput. Appl. Math. , vol.81 , pp. 217-227
    • Marcellán, F.1    Martínez-Finkelshtein, A.2    Moreno-Balcázar, J.J.3
  • 9
    • 0001274622 scopus 로고
    • Relative asymptotics for orthogonal polynomials with a Sobolev inner product
    • F. MARCELLÁN, W. VAN ASSCHE (1993): Relative asymptotics for orthogonal polynomials with a Sobolev inner product. J. Approx. Theory, 72:193-209.
    • (1993) J. Approx. Theory , vol.72 , pp. 193-209
    • Marcellán, F.1    Van Assche, W.2
  • 10
    • 0002006314 scopus 로고    scopus 로고
    • Asymptotics of Sobolev orthogonal polynomials for a Jacobi weight
    • A. MARTÍNEZ-FINKELSHTEIN, J. J. MORENO-BALCÁZAR (1997): Asymptotics of Sobolev orthogonal polynomials for a Jacobi weight. Methods Appl. Anal., 4(4):430-437.
    • (1997) Methods Appl. Anal. , vol.4 , Issue.4 , pp. 430-437
    • Martínez-Finkelshtein, A.1    Moreno-Balcázar, J.J.2
  • 14
    • 0002059690 scopus 로고
    • Extremal polynomials associated with a system of curves in the complex plane
    • H. WIDOM (1969): Extremal polynomials associated with a system of curves in the complex plane. Adv. Math., 3(2): 127-232.
    • (1969) Adv. Math. , vol.3 , Issue.2 , pp. 127-232
    • Widom, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.