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

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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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     author = {I. A. Shakirov},
     title = {On a refinement of the asymptotic formula for the {Lebesgue} constants},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {180--186},
     publisher = {mathdoc},
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     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2015_15_2_a7/}
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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/