Geodesic
Asymptotic Formulas for Lebesgue Functions Corresponding to the Family of Lagrange Interpolation Polynomials
Matematičeskie zametki, Tome 102 (2017) no. 1, pp. 133-147

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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.
Mots-clés : Lagrange polynomials, Lebesgue functions and constants
Keywords: asymptotic formula for a Lebesgue function, error function. 
@article{MZM_2017_102_1_a12,
     author = {I. A. Shakirov},
     title = {Asymptotic {Formulas} for {Lebesgue} {Functions} {Corresponding} to the {Family} of {Lagrange} {Interpolation} {Polynomials}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {133--147},
     publisher = {mathdoc},
     volume = {102},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_1_a12/}
}
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I. A. Shakirov. Asymptotic Formulas for Lebesgue Functions Corresponding to the Family of Lagrange Interpolation Polynomials. Matematičeskie zametki, Tome 102 (2017) no. 1, pp. 133-147. http://geodesic.mathdoc.fr/item/MZM_2017_102_1_a12/