I. A. Shakirov, “Asymptotic Formulas for Lebesgue Functions Corresponding to the Family of Lagrange Interpolation Polynomials”, Mat. Zametki, 2017, Volume 102, Issue 1,Pages <nobr>133

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Asymptotic Formulas for Lebesgue Functions Corresponding to the Family of Lagrange Interpolation Polynomials

I. A. Shakirov

Naberezhnye Chelny State Pedagogical University

Abstract: The asymptotic behavior of Lebesgue functions of trigonometric Lagrange interpolation polynomials constructed on an even number of nodes is studied. For these functions, asymptotic formulas involving concrete simplest trigonometric and algebraic-trigonometric polynomials were first obtained.

Keywords: Lagrange polynomials, Lebesgue functions and constants, asymptotic formula for a Lebesgue function, error function.

UDC: 591.65

Received: 16.03.2014
Revised: 27.01.2017

DOI: 10.4213/mzm11651