Approximation characteristics of Stepanets-Orlicz type spaces
DOI:
https://doi.org/10.64700/altay.24Keywords:
Stepanets spaces, Orlicz spaces, best approximation, best $n$-term approximationAbstract
In the paper, we introduce spaces \({\mathcal S}_{M,\Phi}\) and show their connection with the well-known Stepanets spaces \({\mathcal S}^p_{\Phi}\), Orlicz spaces \({\mathcal S}_M\), and others. We obtain exact upper bounds for quantities analogous to trigonometric widths and best \(n\)-term approximations of certain compact sets in these spaces.
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Copyright (c) 2025 Andrii Shydlich
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