Geodesic
On a refinement of the asymptotic formula for the Lebesgue constants
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 15 (2015) no. 2, pp. 180-186 
I. A. Shakirov. On a refinement of the asymptotic formula for the Lebesgue constants. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 15 (2015) no. 2, pp. 180-186. http://geodesic.mathdoc.fr/item/ISU_2015_15_2_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

For the Lebesque constant of the classical Lagrange polynomial defined in the even number of nodes of interpolation, strict two-sided estimation is received. On this basis, an undefined value $O(1)$ is refined in the well-known asymptotic equality for the Lebesque constant. Two actual problems in the interpolation theory associated with the optimal choice of $O(1)$ are solved.

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