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Approximation of periodic functions by Fourier sums in the mean

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Publication:1100666
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DOI10.1007/BF01058477zbMath0641.42004MaRDI QIDQ1100666

A. K. Novikova, A. I. Stepanets

Publication date: 1986

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


zbMATH Keywords

Fourier seriesasymptotic equations


Mathematics Subject Classification ID

Trigonometric approximation (42A10)


Related Items (8)

Approximation by Fourier sums of functions with slowly decreasing Fourier coefficients ⋮ Approximation by Fourier operators of functions defined on the real line ⋮ Fourier series: New results and unsolved problems ⋮ Simultaneous approximation of functions and their (\(\psi\) ,\(\beta\) )- derivatives by Fourier sums ⋮ Strong summability of Fourier series on classes of (\(\psi\) ,\(\beta\) )- differentiable functions ⋮ Lebesgue's inequality on classes of \((\psi{},\beta{})\)-differentiable functions ⋮ Asymptotic estimates of approximation of continuous periodic functions by Fourier sums ⋮ Saturation classes of linear methods of summation of Fourier series




Cites Work

  • Behavior of sequences of partial Fourier sums of continuous functions near the points of their divergence
  • Unnamed Item




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