Geodesic
Lower Bound for the Lebesgue Function of an Interpolation Process with Algebraic Polynomials on Equidistant Nodes of a Simplex
Matematičeskie zametki, Tome 92 (2012) no. 1, pp. 19-26

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For an interpolation process with algebraic polynomials of degree $n$ on equidistant nodes of an $m$-simplex for $m\ge 2$, we obtain a pointwise lower bound for the Lebesgue function similar to the well-known estimate for interpolation on a closed interval.
Mots-clés : interpolation process, equidistant nodes, algebraic polynomial, Lebesgue function, $m$-simplex, Lebesgue constant. 
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     author = {N. V. Baidakova},
     title = {Lower {Bound} for the {Lebesgue} {Function} of an {Interpolation} {Process} with {Algebraic} {Polynomials} on {Equidistant} {Nodes} of a {Simplex}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {19--26},
     publisher = {mathdoc},
     volume = {92},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_92_1_a1/}
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N. V. Baidakova. Lower Bound for the Lebesgue Function of an Interpolation Process with Algebraic Polynomials on Equidistant Nodes of a Simplex. Matematičeskie zametki, Tome 92 (2012) no. 1, pp. 19-26. http://geodesic.mathdoc.fr/item/MZM_2012_92_1_a1/