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Mat. Zametki, 2017 Volume 102, Issue 1, Pages 52–63 (Mi mzm9694)

$\varphi$-Strong Approximation of Functions by Trigonometric Polynomials

R. A. Lasuriya

Abkhazian State University

Abstract: The rate of $\varphi$-strong approximation of periodic functions by trigonometric polynomials constructed on the basis of interpolating polynomials with equidistant nodes is considered.

Keywords: Fourier–Lagrange series, group of deviations, best approximation, Dirichlet kernel.

UDC: 517.5

Received: 02.11.2016

DOI: 10.4213/mzm9694


 English version:
Mathematical Notes, 2017, 102:1, 43–52

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© Steklov Math. Inst. of RAS, 2025