Mixed modulus of smoothness and best approximation in Lorentz spaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911178277519360 |
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| author | Akishev, G. |
| author_facet | Akishev, G. |
| contents | The article deals with the mixed modulus of smoothness of positive order and the best approximation by ''angle'' of functions from the Lorentz space $L_{p, τ}(\mathbb{T}^{m})$. The properties of the mixed modulus of smoothness, the sharp version of the inverse theorem of approximation theory are proved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22210 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mixed modulus of smoothness and best approximation in Lorentz spaces Akishev, G. Classical Analysis and ODEs 41A25, 42A05 The article deals with the mixed modulus of smoothness of positive order and the best approximation by ''angle'' of functions from the Lorentz space $L_{p, τ}(\mathbb{T}^{m})$. The properties of the mixed modulus of smoothness, the sharp version of the inverse theorem of approximation theory are proved. |
| title | Mixed modulus of smoothness and best approximation in Lorentz spaces |
| topic | Classical Analysis and ODEs 41A25, 42A05 |
| url | https://arxiv.org/abs/2509.22210 |