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Approximation of the Lebesgue Constant of a Lagrange Polynomial by a Logarithmic Function with Shifted Argument

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Abstract

Well-known two-sided estimates for the Lebesgue constants of two classical trigonometric interpolation Lagrange polynomials are improved. Approximations of these Lebesgue constants are based on logarithmic functions with shifted arguments.

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Authors and Affiliations

  1. Naberezhnye Chelny State Pedagogical University, Naberezhnye Chelny, Russia

    I. A. Shakirov

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  1. I. A. Shakirov
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Correspondence to I. A. Shakirov.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 153, Complex Analysis, 2018.

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Shakirov, I.A. Approximation of the Lebesgue Constant of a Lagrange Polynomial by a Logarithmic Function with Shifted Argument. J Math Sci 252, 445–452 (2021). https://doi.org/10.1007/s10958-020-05172-7

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  • DOI: https://doi.org/10.1007/s10958-020-05172-7

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