Approximation of classes \(B_{p,\theta}^r\) of periodic functions of one and several variables

DOI10.1134/S0001434610030120zbMath1202.42008MaRDI QIDQ1957063

A. S. Romanyuk

Publication date: 24 September 2010

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

zbMATH Keywords

trigonometric polynomialhyperbolic crossFejér kernelVallée-Poussin kernelBernoulli kernelclass \(B_{p,\theta}^r\) of periodic functionsFourier hyperbolic sum

Mathematics Subject Classification ID

Trigonometric approximation (42A10)

Related Items (1)

Entropy numbers and widths for the classes \(B_{p,\theta}^r\) of periodic functions of many variables

Cites Work

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• Approximation of the Besov classes of periodic functions of several variables in the space \(L_ q\)
• Greedy algorithm and \(m\)-term trigonometric approximation
• Best approximations and widths of classes of periodic functions of several variables
• Approximability of the classes $ B_{p,\theta}^r$ of periodic functions of several variables by linear methods and best approximations

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