Geodesic
On the refinement of the asymptotic formula for the Lebesgue function of the Lagrange polynomial
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 3, Tome 192 (2021), pp. 142-149

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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.
Mots-clés : Lagrange polynomial, Lebesgue function
Keywords: asymptotic formula, uniform remainder estimate. 
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     author = {I. A. Shakirov},
     title = {On the refinement of the asymptotic formula for the {Lebesgue} function of the {Lagrange} polynomial},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {142--149},
     publisher = {mathdoc},
     volume = {192},
     year = {2021},
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I. A. Shakirov. On the refinement of the asymptotic formula for the Lebesgue function of the Lagrange polynomial. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 3, Tome 192 (2021), pp. 142-149. http://geodesic.mathdoc.fr/item/INTO_2021_192_a15/