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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive
Izv. Saratov Univ. Math. Mech. Inform., 2013 Volume 13, Issue 1(2), Pages 81–83 (Mi isu380)
This article is cited in 1 paper

Mathematics

On Birkhoff Interpolation of Functions of Ordered $\Lambda$-bounded Variation

V. V. Novikov

Saratov State University named after N. G. Chernyshevsky

Abstract: A sufficient condition for the uniform convergence of Lagrange and (0,2,3) Birkhoff interpolation on the whole real line is obtained. The condition is in terms of ordered $\Lambda$-bounded variation.

Key words: Lagrange interpolation, Birkhoff interpolation, lacunary interpolation, ordered $\Lambda$-variation.

UDC: 517.51

DOI: 10.18500/1816-9791-2013-13-1-2-81-83



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