Trigonometric approximation with exponential error orders. I: Construction of asymptotically optimal processes; generalized de la Vallee Poussin sums

DOI10.1007/BF01420576zbMath0342.42002OpenAlexW2911439170MaRDI QIDQ1232044

Wolfgang Dahmen

Publication date: 1977

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163029

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Rate of convergence, degree of approximation (41A25)

Related Items

Approximation of operator semigroups of Oharu's class (C(//k)) ⋮ On approximation by operator semigroups of a general type ⋮ Best approximation and De La Vallee-Poussin sums ⋮ Trigonometric approximation with exponential error orders. II: Properties of asymptotically optimal processes: Impossibility of arbitrarily good error estimates

Cites Work

• Best approximation with exponential orders and intermediate spaces
• Trigonometric approximation with exponential error orders. II: Properties of asymptotically optimal processes: Impossibility of arbitrarily good error estimates
• Interpolationsmethoden zur Behandlung von Approximationsprozessen auf Banachräumen
• A conjecture of M. Golomb on optimal and nearly-optimal linear approximation
• ON METHODS OF INVESTIGATING EXTREMAL PROBLEMS IN THE THEORY OF BEST APPROXIMATION
• Metric Entropy, Widths, and Superpositions of Functions
• Metric entropy and approximation
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