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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2014 Volume 14, Issue 2, Pages 165–171 (Mi isu500)

Mathematics

Everywhere divergence of Lagrange processes on the unit circle

S. V. Tyshkevich, A. V. Shatalina

Saratov State University, 83, Astrakhanskaya str., 410012, Saratov, Russia

Abstract: 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.

Key words: interpolation, Lagrange polynomials.

UDC: 517.538.7

DOI: 10.18500/1816-9791-2014-14-2-165-171



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