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Asymptotic behavior of Lebesgue constants in trigonometric interpolation

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Publication:1838663
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DOI10.1007/BF01085428zbMath0511.42007MaRDI QIDQ1838663

V. K. Dzyadyk, A. S. Prypik, S. Ju. Dzjadyk

Publication date: 1982

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


zbMATH Keywords

Lebesgue constantsasymptotic seriesequidistant nodesLebesgue function for interpolation


Mathematics Subject Classification ID

Trigonometric approximation (42A10) Trigonometric interpolation (42A15)


Related Items (3)

A Method for Dimensionally Adaptive Sparse Trigonometric Interpolation of Periodic Functions ⋮ Least-squares polynomial approximation on weakly admissible meshes: Disk and triangle ⋮ On the Lebesgue constants



Cites Work

  • Proof of the conjectures of Bernstein and Erdős concerning the optimal nodes for polynomial interpolation
  • Auswertung der Normen von Interpolationsoperatoren
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