Approximation and spectral properties of periodic spline operators

DOI10.1017/S0013091500005150zbMath0758.42002MaRDI QIDQ3985494

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Publication date: 27 June 1992

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

zbMATH Keywords

convolution type operatorsperiodic splinestrigonometric splinestranslation invariant spaces

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by polynomials (41A10) Spline approximation (41A15)

Related Items (4)

Mean square approximation by optimal periodic interpolation ⋮ Periodic Splines of Complex Order ⋮ Factorization of totally positive, symmetric, periodic, banded matrices with applications ⋮ \(L_ 2\)-approximation by the translates of a function and related attenuation factors

Cites Work

• Remarks on de la Vallée Poussin means and convex conformal maps of the circle
• Periodic interpolation on uniform meshes
• Periodic spline orthonormal bases
• Interpolationsmethoden zur Behandlung von Approximationsprozessen auf Banachräumen
• An identity for spline functions with applications to variation diminishing spline approximation
• Iteration of positive approximation operators
• Interpolation on Uniform Meshes by the Translates of One Function and Related Attenuation Factors

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