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Fast decreasing polynomials via potentials

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References

  1. M. Fekete,Über den transfiniten Durchmesser ebener Punktmengen, Math. Z.32 (1930), 108–114.

    Article  MathSciNet  Google Scholar 

  2. A. A. Gonchar and E. A. Rakhmanov,Equilibrium measure and the distribution of the zeros of extremal polynomials, Mat. Sb.125(167)(1984);English translation: Math. USSR Sb.53(1986), 119–130.

    Google Scholar 

  3. A. A. Gonchar and E. A. Rakhmanov,Equilibrium distributions and degree of rational approximation of analytic functions, Mat. Sb.134(176)(1987);English translation: Math. USSR Sb.62(1989), 305–348.

    Google Scholar 

  4. I. I. Hirschman,The decomposition of Walsh and Fourier series, Mem. Amer. Math. Soc.15 (1955).

  5. K. G. Ivanov and V. Totik,Fast decreasing polynomials, Constr. Approx.6(1990), 1–20.

    Article  MATH  MathSciNet  Google Scholar 

  6. K. G. Ivanov, E. B. Saff and V. Totik,Approximation by polynomials with locally geometric rates, Proc. Amer. Math. Soc.106(1989), 153–161.

    Article  MATH  MathSciNet  Google Scholar 

  7. N. S. Landkof,Foundations of Modern Potential Theory, Grundlehren der Mathematischen Wissenschaften190, Springer-Verlag, Berlin, 1972.

    MATH  Google Scholar 

  8. F. Leja,Une généralisation de l’écart et du diamètre transfini d’un ensemble, Ann. Soc. Pol. Math.22(1949), 35–42.

    MathSciNet  Google Scholar 

  9. D. S. Lubinsky and E. B. Saff,Strong Asymptotics for Extremal Polynomials Associated with Weights on R, Lecture Notes in Mathematics1305, Springer-Verlag, New York, 1988.

    Google Scholar 

  10. D. S. Lubinsky, H. N. Mhaskar and E. B. Saff,A proof of Freud’s conjecture, Constr. Approx.4(1988), 65–83.

    Article  MATH  MathSciNet  Google Scholar 

  11. H. N. Mhaskar and E. B. Saff,Where does the supremum norm of a weighted polynomial live, Constr. Approx.1(1985), 71–91.

    Article  MATH  MathSciNet  Google Scholar 

  12. H. N. Mhaskar and E. B. Saff,Weighted analogues of capacity, transfinite diameter and Chebyshev constant, Constr. Approx.8(1991), 105–124.

    Article  MathSciNet  Google Scholar 

  13. I. Muskhjelishvili,Singular Integral Equations, P. Noordhoff N.V., Groningen, 1953.

    Google Scholar 

  14. M. Tsuji,Potential Theory in Modern Function Theory, Maruzen, Tokyo, 1959.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Bolyai Institute, Aradi vértanúk tere 1, 6720, Szeged, Hungary

    Vilmos Totik

  2. Department of Mathematics, University of South Florida, 33620, Tampa, FL, USA

    Vilmos Totik

Authors
  1. Vilmos Totik
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Correspondence to Vilmos Totik.

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Supported in part by the National Science Foundation, Grant No. DMS 9002794 and by HSFR 90/3.

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Totik, V. Fast decreasing polynomials via potentials. J. Anal. Math. 62, 131–154 (1994). https://doi.org/10.1007/BF02835951

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  • DOI: https://doi.org/10.1007/BF02835951

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