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

Izv. Saratov Univ. Math. Mech. Inform., 2010 Volume 10, Issue 1, Pages 9–14 (Mi isu2)

Mathematics

The problem of convergence in point trigonometric interpolation process of Lagrange

L. V. Borisova, A. V. Shatalina

Saratov State University, Chair of Theory of Functions and Approximations

Abstract: An analogue of the characteristic of R. Salem is obtained for a trigonometric Lagrange interpolation process on the matrix of equally spaced nodes.

Key words: interpolation process, equidistant nodes, convergence at point.

UDC: 517.51

DOI: 10.18500/1816-9791-2010-10-1-9-14



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