Trigonometric interpolation in Hölder spaces

DOI10.1016/0021-9045(88)90061-5zbMath0714.42005OpenAlexW1995966261MaRDI QIDQ750795

Jürgen Prestin

Publication date: 1988

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(88)90061-5

zbMATH Keywords

approximation of periodic functions by Fourier sumsexplicit values for constantsinterpolatory polynomials in Hölder spacestrigonometric interpolation in Hölder spaces

Mathematics Subject Classification ID

Trigonometric interpolation (42A15)

Related Items (7)

On the approximation by de la Vallée Poussin sums and interpolatory polynomials in Lipschitz norms ⋮ A fast trigonometric collocation method for some elliptic pseudodifferential equations ⋮ On Strong Approximation in Hölder Norms ⋮ Simultaneous approximation by Bernstein operators in Hölder norms ⋮ A fully-discrete trigonometric collocation method ⋮ Refinements, generalizations, and applications of Jordan's inequality and related problems ⋮ Non-linear rational Riemann-Hilbert-problems with circular target curves

Cites Work

• Approximationsgüte der Ableitungen bei trigonometrischer Interpolation
• Auswertung der Normen von Interpolationsoperatoren
• Zur Konvergenz der Fourierreihen hölderstetiger Funktionen
• Note on Lebesgue's Constants in the Theory of Fourier Series
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