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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| creator | Ivanov, Kamen G Petrushev, Pencho |
| description | 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_str_mv | 10.48550/arxiv.2001.10847 |
| format | Article |
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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.</abstract><doi>10.48550/arxiv.2001.10847</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Classical Analysis and ODEs |
| title | Nonlinear spline approximation in $\operatorname{BMO}(\mathbb R) |
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