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AN ERDŐS-TYPE CONVERGENCE PROCESS IN WEIGHTED INTERPOLATION. I, (FREUD-TYPE WEIGHTS)

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Abstract

We define a convergent weighted interpolatory process corresponding to an old procedure of Erdős.

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References

  1. P. Erdős, On some convergence properties of the interpolation polynomials, Ann. Math., 44 (1943), 330-337.

    Google Scholar 

  2. P. Vértesi, On the Lebesgue function of weighted Lagrange interpolation I, Const. Approx., 15 (1999), 355-367.

    Google Scholar 

  3. V. E. S. Szabó, Weighted interpolation: The L ∞ theory. I.

  4. G. Criscuolo, B. Della Vecchia, D. Lubinsky and G. Mastroianni, Functions of second kind for Freud weights, J. Math. Anal. Appl., 189 (1994), 256-296.

    Google Scholar 

  5. J. Szabados, Weighted Lagrange and Hermite-Fejér interpolation on the real line, J. of Inequal. and Appl., 1 (1997), 99-112.

    Google Scholar 

  6. D. Lubinsky, An extension of the Erdős-Turán theorem, Ann. of Numer. Math., 2 (1995), 385-405.

    Google Scholar 

  7. P. Erdős and P. Turán, On interpolation. II, Ann. of Math., 39 (1940), 703-724.

    Google Scholar 

  8. V. Totik, Weighted Approximation with Varying Weights, Lecture Notes in Mathematics 1569, Springer Verlag (1944), pp. 1-114.

  9. H. N. Mhaskar, Introduction to the Theorey of Weighted Polynomial Approximation, World Scientific Co. (1996), pp. XIV + 379.

  10. J. Szabados, Where are the nodes of “good” interpolation polynomials on the real line?, J. Appr. Theory, 103 (2000), 357-359.

    Google Scholar 

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Authors
  1. P. Vértesi
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Vértesi, P. AN ERDŐS-TYPE CONVERGENCE PROCESS IN WEIGHTED INTERPOLATION. I, (FREUD-TYPE WEIGHTS). Acta Mathematica Hungarica 91, 195–215 (2001). https://doi.org/10.1023/A:1010619206105

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