Direct and inverse approximation theorems for functions defined in Damek–Ricci spaces
UDC 517.5 We introduce the notion of $k$th modulus of smoothness and establish the direct and inverse theorems in terms of the quantities $E_{s}(f)$  and the moduli of  smoothness generated by the spherical mean operator  defined on the $L^{2}$-space for the Da...
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| Date: | 2024 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2024
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7549 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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