Geodesic
Everywhere divergence of Lagrange processes on the unit circle
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 2, pp. 165-171

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We study the convergence of Lagrange interpolation processes in the closed unit disk. Choosing a matrix with a certain distribution of interpolation nodes allowed to construct the set, completely covering the unit circle, and the function for which the process diverges everywhere on this set. 
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     title = {Everywhere divergence of {Lagrange} processes on the unit circle},
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S. V. Tyshkevich; A. V. Shatalina. Everywhere divergence of Lagrange processes on the unit circle. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 2, pp. 165-171. http://geodesic.mathdoc.fr/item/ISU_2014_14_2_a6/