Abstract
In this paper, we discuss asymptotic relations for the approximation of \(\left| x\right| ^{\alpha },\alpha >0\) in \(L_{\infty }\left[ -\,1,1\right] \) by Lagrange interpolation polynomials based on the zeros of the Chebyshev polynomials of first kind. The limiting process reveals an entire function of exponential type for which we can present an explicit formula.
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Revers, M. Extremal Polynomials and Entire Functions of Exponential Type. Results Math 73, 109 (2018). https://doi.org/10.1007/s00025-018-0870-1
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DOI: https://doi.org/10.1007/s00025-018-0870-1