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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 72–76 (Mi isu378)
Mathematics

The Approximation of Functions by Transformed Fourier–Vilenkin Series in the Hölder Norm

T. V. Likhacheva

Saratov State University

Abstract: Using the oscillations of rows from matrix $A$, we obtain an estimate for the degree of approximation in Hölder metric by linear means of Fourier–Vilenkin series generated by $A$.

Key words: Vilenkin system, Hölder space, linear means.

UDC: 517.51

DOI: 10.18500/1816-9791-2013-13-1-2-72-76



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