Cardinal spline interpolation from $H^{1}(\mathbb {Z})$ to $L_{1}(\mathbb {R})$

DOI10.1090/S0002-9939-00-05290-4zbMath0954.41009OpenAlexW1517091999MaRDI QIDQ4490219

Fang Gensun

Publication date: 10 July 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05290-4

zbMATH Keywords

Lebesgue constantdiscrete Hardy spacecardinal spline

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) (H^p)-spaces (42B30) Special classes of entire functions of one complex variable and growth estimates (30D15)

Cites Work

• Uniform spline interpolation operators in L\(_2\)
• The Lebesgue constants for cardinal spline interpolation
• Whittaker-Kotelnikov-Shannon sampling theorem and aliasing error
• Extensions of Hardy spaces and their use in analysis
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