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Inequalities for norms of derivatives of periodic functions

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Publication:1053210
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DOI10.1007/BF01686326zbMath0517.42018OpenAlexW2021961677MaRDI QIDQ1053210

A. A. Ligun

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01686326


zbMATH Keywords

Sobolev spacederivativesplinetrigonometric approximationexact inequality


Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Classical almost periodic functions, mean periodic functions (42A75) Spline approximation (41A15)


Related Items (2)

Bernstein-type inequalities for \(\mathfrak{L}\)-splines ⋮ Sharp Kolmogorov-Remez-type inequalities for periodic functions of low smoothness



Cites Work

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  • Functions of exponential type
  • Diameters of certain classes of differentiable periodic functions
  • Inequalities for upper bounds of functionals
  • Some Extensions of a Theorem of Hardy, Littlewood and Pólya and Their Applications


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