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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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/

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