I. A. Shakirov, “Approximation of the Lebesgue Constant of a Lagrange Polynomial by a Logarithmic Function with Shifted Argument”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 153,Pages <nobr>151

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

I. A. Shakirov

Naberezhnye Chelny State Pedagogical University

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.

Keywords: Lagrange interpolation polynomial, remainder term, Lebesgue constant, approximation by logarithmic functions, extremal problem, best approximation element.

UDC: 517.518.85

MSC: 42A15