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Lebesgue's inequality on classes of \((\psi{},\beta{})\)-differentiable functions

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Publication:1812666
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DOI10.1007/BF01060622zbMath0738.42008MaRDI QIDQ1812666

A. I. Stepanets

Publication date: 25 June 1992

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


zbMATH Keywords

trigonometric polynomialsbest approximationFourier series expansionLebesgue inequality


Mathematics Subject Classification ID

Trigonometric approximation (42A10)


Related Items (2)

Asymptotically best possible Lebesgue-type inequalities for the fourier sums on sets of generalized poisson integrals ⋮ Uniform approximations by Fourier sums on the sets of convolutions of periodic functions of high smoothness




Cites Work

  • Approximation of periodic functions by Fourier sums in the mean
  • Deviation of Fourier sums on the classes of infinitely differentiable functions
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