Geodesic
Approximation of the Lebesgue Constant of a Lagrange Polynomial by a Logarithmic Function with Shifted Argument
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex analysis, Tome 153 (2018), pp. 151-157

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Well-known two-sided estimates for the Lebesgue constants of two classical trigonometric interpolation Lagrange polynomials are improved. Approximations of these Lebesgue constants are based on logarithmic functions with shifted arguments.
Mots-clés : Lagrange interpolation polynomial, Lebesgue constant
Keywords: remainder term, approximation by logarithmic functions, extremal problem, best approximation element. 
@article{INTO_2018_153_a11,
     author = {I. A. Shakirov},
     title = {Approximation of the {Lebesgue} {Constant} of a {Lagrange} {Polynomial} by a {Logarithmic} {Function} with {Shifted} {Argument}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {151--157},
     publisher = {mathdoc},
     volume = {153},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_153_a11/}
}
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I. A. Shakirov. Approximation of the Lebesgue Constant of a Lagrange Polynomial by a Logarithmic Function with Shifted Argument. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex analysis, Tome 153 (2018), pp. 151-157. http://geodesic.mathdoc.fr/item/INTO_2018_153_a11/