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Bounds for weighted Lebesgue functions for exponential weights. II

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Abstract

In [3] we found estimates for the weighted Lebesgue functions, Δn(x), for a class of exponential weights that includes non-even weights, when the interpolation points are the zeros of orthogonal polynomials. In this paper, we use Szabados" method of adding two extra interpolation points to find better estimates for Lebesgue functions.

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Authors and Affiliations

  1. The John Knopfmacher Centre For Applicable Analysis and Number Theory Department of Mathematics, University of the Witwatersrand Po Wits, 2050, Johannesburg, South Africa

    D. G. Kubayi

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  1. D. G. Kubayi
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Kubayi, D.G. Bounds for weighted Lebesgue functions for exponential weights. II. Acta Mathematica Hungarica 97, 37–54 (2002). https://doi.org/10.1023/A:1020854727886

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