$Nonlinear spline approximation in $\operatorname{BMO}(\mathbb R)$

Nonlinear spline approximation in $\operatorname{BMO}(\mathbb R)

We study nonlinear approximation in $\operatorname{BMO}$ from splines generated by a hierarchy of B-splines over regular multilevel nested partitions of $\mathbb R$. Companion Jackson and Bernstein estimates are established that allow to completely characterize the associated approximation spaces.

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Bibliographische Detailangaben
Hauptverfasser:	Ivanov, Kamen G, Petrushev, Pencho
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Classical Analysis and ODEs
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Beschreibung
Zusammenfassung:	We study nonlinear approximation in $\operatorname{BMO}$ from splines generated by a hierarchy of B-splines over regular multilevel nested partitions of $\mathbb R$. Companion Jackson and Bernstein estimates are established that allow to completely characterize the associated approximation spaces.
DOI:	10.48550/arxiv.2001.10847