Trigonometric approximation with exponential error orders. II: Properties of asymptotically optimal processes: Impossibility of arbitrarily good error estimates

DOI10.1016/0022-247X(79)90104-5zbMath0408.42001OpenAlexW2013734123MaRDI QIDQ1258487

Wolfgang Dahmen

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90104-5

zbMATH Keywords

Uniform BoundednessAsymptotically Optimal ApproximationBounded Linear Polynomial Operators

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Rate of convergence, degree of approximation (41A25) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items

The fundamental theorem of best approximation for logarithmic and exponential orders, Trigonometric approximation with exponential error orders. I: Construction of asymptotically optimal processes; generalized de la Vallee Poussin sums

Cites Work

• Trigonometric approximation with exponential error orders. I: Construction of asymptotically optimal processes; generalized de la Vallee Poussin sums
• Jackson and Bernstein-type inequalities for families of commutative operators in Banach spaces