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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2016 Volume 100, Issue 2, Pages 229–247 (Mi mzm10588)
This article is cited in 9 papers

Approximation Properties of de la Vallée-Poussin Means for Piecewise Smooth Functions

M. G. Magomed-Kasumovab

a Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
b Vladikavkaz Scientific Centre of the Russian Academy of Sciences

Abstract: The value of the deviation of a function $f(x)$ from its de la Vallée-Poussin means $V_m^n(f,x)$ with respect to the trigonometric system for classes of piecewise smooth $2\pi$-periodic functions is estimated.

Keywords: de la Vallée-Poussin means, trigonometric system, piecewise smooth function, approximation theory, approximation properties.

UDC: 517.521

Received: 14.10.2014
Revised: 15.12.2015

DOI: 10.4213/mzm10588


 English version: Mathematical Notes, 2016, 100:2, 229–244

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© Steklov Math. Inst. of RAS, 2025