Asymptotics of $L_p$-error for adaptive approximation of $n$-variable functions by harmonic splines

Asymptotics of $L_p$-error for adaptive approximation of $n$-variable functions by harmonic splines

For a twice continuously differentiable function, defined on $n$-dimensional unit cube, we obtain sharp asymptotics of $L_p$-error for approximation by harmonic splines, and construct the asymptotically optimal sequence of partitions.

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Veröffentlicht in:Researches in mathematics (Online) 2021-01, Vol.19, p.71
1. Verfasser: Leskevich, T.Yu
Format: Artikel
Sprache:eng
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Zusammenfassung:For a twice continuously differentiable function, defined on $n$-dimensional unit cube, we obtain sharp asymptotics of $L_p$-error for approximation by harmonic splines, and construct the asymptotically optimal sequence of partitions.
ISSN:2664-4991
2664-5009
DOI:10.15421/241112