Approximation of functions of class \(C(\epsilon)\) by subsequences of de la Vallée-Poussin sums

DOI10.1007/BF01156580zbMath0749.42002OpenAlexW2060511778MaRDI QIDQ1177816

O. V. Davydov

Publication date: 26 June 1992

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01156580

zbMATH Keywords

trigonometric polynomialsbest approximationde la Vallée-Poussin sums\(2\pi\)-periodic functionsFejér sums

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

• On the approximation of periodic functions by de la Vallee Poussin sums
• Fonctions continues et fonctions bornées non adhérentes dans $L^{∞}(T)$ à la suite de leurs sommes partielles de Fourier
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