Approximation properties of some discrete Fourier sums for piecewise smooth discontinuous functions

DOI10.15393/j3.art.2019.7110zbMath1458.42001OpenAlexW2987552572WikidataQ126777796 ScholiaQ126777796MaRDI QIDQ5214148

Gasan Garunovich Akniev

Publication date: 7 February 2020

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa267

zbMATH Keywords

trigonometric polynomialsFourier seriesfunction approximation

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Rate of convergence, degree of approximation (41A25)

Cites Work

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• On the best approximation and polynomials of the least quadratic deviation
• On the convergence of trigonometrical interpolation at equidistant knots
• Approximation Properties of Dicrete Fourier Sums for Some Piecewise Linear Functions
• Discrete least squares approximation of piecewise-linear functions by trigonometric polynomials
• Approximation of Continuous 2π-Periodic Piecewise Smooth Functions by Discrete Fourier Sums

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