Best weighted approximation of some kernels on the real axis
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866914129463214080 |
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| author | Chaichenko, Stanislav Savchuk, Viktor Shidlich, Andrii |
| author_facet | Chaichenko, Stanislav Savchuk, Viktor Shidlich, Andrii |
| contents | We calculate the exact value and find the polynomial of the best weighted polynomial approximation of kernels of the form $\frac {A+Bt}{(t^2+λ^2)^{s+1}}$, where $A$ and $B$ are fixed complex numbers, $λ>0$, $s\in {\mathbb N}$, in the mean square metric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_23890 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Best weighted approximation of some kernels on the real axis Chaichenko, Stanislav Savchuk, Viktor Shidlich, Andrii Numerical Analysis Classical Analysis and ODEs Optimization and Control 41A10, 30J10, 41A81 G.1.2 We calculate the exact value and find the polynomial of the best weighted polynomial approximation of kernels of the form $\frac {A+Bt}{(t^2+λ^2)^{s+1}}$, where $A$ and $B$ are fixed complex numbers, $λ>0$, $s\in {\mathbb N}$, in the mean square metric. |
| title | Best weighted approximation of some kernels on the real axis |
| topic | Numerical Analysis Classical Analysis and ODEs Optimization and Control 41A10, 30J10, 41A81 G.1.2 |
| url | https://arxiv.org/abs/2509.23890 |