Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Tyshkevich S. V., Shatalina A. V. Everywhere divergence of Lagrange processes on the unit circle. Izv. Sarat. Univ. Math. Mech. Inform., 2014, vol. 14, iss. 2, pp. 165-171. DOI: 10.18500/1816-9791-2014-14-2-165-171

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Everywhere divergence of Lagrange processes on the unit circle

Tyshkevich Sergey Viktorovich, Saratov State University
Shatalina Anna Vasilevna, Saratov State University

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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