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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021 Volume 192, Pages 142–149 (Mi into791)
On the refinement of the asymptotic formula for the Lebesgue function of the Lagrange polynomial

I. A. Shakirov

Naberezhnye Chelny State Pedagogical University

Abstract: For the Lebesgue function corresponding to the Lagrange interpolation polynomial, strict lower and upper estimates are obtained and the well-known asymptotic formula is refined.

Keywords: Lagrange polynomial, Lebesgue function, asymptotic formula, uniform remainder estimate.

UDC: 517.58

MSC: 34A25

DOI: 10.36535/0233-6723-2021-192-142-149


© Steklov Math. Inst. of RAS, 2024