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Approximation by elements of a finite-dimensional subspace of functions from various Sobolev or Nikol'skij spaces

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Publication:920321
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DOI10.1007/BF01158514zbMath0708.41018MaRDI QIDQ920321

Vladimir N. Temlyakov

Publication date: 1988

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

anisotropic Sobolev classasymptotical estimateNikolskij classorthonormal systems of bounded functions


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric approximation (42A10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by other special function classes (41A30)


Related Items (6)

Universal discretization ⋮ Optimal recovery of functions from numerical information on them and limiting error of the optimal computing unit ⋮ Connections between numerical integration, discrepancy, dispersion, and universal discretization ⋮ On universal sampling recovery in the uniform norm ⋮ Smooth fixed volume discrepancy, dispersion, and related problems ⋮ Integral norm discretization and related problems







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