On the order of relative approximation of classes of differentiable periodic functions by splines

On the order of relative approximation of classes of differentiable periodic functions by splines

In the case where n → ∞, we obtain order equalities for the best L q -approximations of the classes W p r , 1 ≤ q ≤ p ≤ 2, of differentiable periodical functions by splines from these classes.

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Veröffentlicht in:Ukrainian mathematical journal 2010-09, Vol.62 (2), p.163-174
Hauptverfasser: Babenko, V. F., Parfinovich, N.V.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Zusammenfassung:In the case where n → ∞, we obtain order equalities for the best L q -approximations of the classes W p r , 1 ≤ q ≤ p ≤ 2, of differentiable periodical functions by splines from these classes.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-010-0341-7