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Journal of Approximation Theory
Volumn 91, Issue 1, 1997, Pages 117-137
Zeros and Critical Points of Sobolev Orthogonal Polynomials
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EID: 0001590792     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1996.3097     Document Type: Article
Times cited : (24)
References (13)
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    • Althammer P. Eine Erweiterung des Orthogonalitätsbegriffes bei Polynomen und deren Anwendungen auf die beste Approximation. J. Reine Angew. Math. 211:1962;192-204.
    • (1962) J. Reine Angew. Math. , vol.211 , pp. 192-204
    • Althammer, P.1
  • 2
    • 84963026891 scopus 로고
    • Jentzsch-Szego type theorems for the zeros of best approximants
    • Blatt H.-P., Saff E. B., Simkani M. Jentzsch-Szego type theorems for the zeros of best approximants. J. London Math. Soc. 38:1988;307-316.
    • (1988) J. London Math. Soc. , vol.38 , pp. 307-316
    • Blatt, H.-P.1    Saff, E.B.2    Simkani, M.3
  • 3
    • 0001505159 scopus 로고
    • On generating orthogonal polynomials
    • Gautschi W. On generating orthogonal polynomials. SIAM J. Sci. Statist. Comput. 3:1982;289-317.
    • (1982) SIAM J. Sci. Statist. Comput. , vol.3 , pp. 289-317
    • Gautschi, W.1
  • 4
    • 0021569678 scopus 로고
    • On some orthogonal polynomials of interest in theoretical chemistry
    • Gautschi W. On some orthogonal polynomials of interest in theoretical chemistry. BIT. 24:1984;473-483.
    • (1984) BIT , vol.24 , pp. 473-483
    • Gautschi, W.1
  • 5
    • 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
  • 6
    • 21844515280 scopus 로고
    • Computing orthogonal polynomials in Sobolev spaces
    • Gautschi W., Zhang M. Computing orthogonal polynomials in Sobolev spaces. Numer. Math. 71:1995;159-183.
    • (1995) Numer. Math. , vol.71 , pp. 159-183
    • Gautschi, W.1    Zhang, M.2
  • 7
    • 21844482532 scopus 로고
    • Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product
    • López G., Marcellán F., Van Assche W. 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
  • 8
    • 0000038453 scopus 로고
    • Orthogonal polynomials on Sobolev spaces: Old and new directions
    • Marcellán F., Alfaro M., Rezola M. L. Orthogonal polynomials on Sobolev spaces: Old and new directions. J. Comput. Appl. Math. 48:1993;113-131.
    • (1993) J. Comput. Appl. Math. , vol.48 , pp. 113-131
    • Marcellán, F.1    Alfaro, M.2    Rezola, M.L.3
  • 9
    • 38149145964 scopus 로고
    • Sobolev orthogonal polynomials with a small number of zeros
    • Meijer H. G. Sobolev orthogonal polynomials with a small number of zeros. J. Approx. Theory. 77:1994;305-313.
    • (1994) J. Approx. Theory , vol.77 , pp. 305-313
    • Meijer, H.G.1
  • 10
    • 0002170299 scopus 로고    scopus 로고
    • A short history of orthogonal polynomials in a Sobolev space I. The non-discrete case
    • Meijer H. G. A short history of orthogonal polynomials in a Sobolev space I. The non-discrete case. Nieuw Arch. Wisk. 14:1996;93-113.
    • (1996) Nieuw Arch. Wisk. , vol.14 , pp. 93-113
    • Meijer, H.G.1
  • 11
    • 0009077902 scopus 로고
    • The distribution of zeros of asymptotically extremal polynomials
    • Mhaskar H. N., Saff E. B. The distribution of zeros of asymptotically extremal polynomials. J. Approx. Theory. 65:1991;279-300.
    • (1991) J. Approx. Theory , vol.65 , pp. 279-300
    • Mhaskar, H.N.1    Saff, E.B.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.