On the $\ell_p$ and $\ell_{p,q}$ norms of Cauchy-Toeplitz matrices
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918400139198464 |
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| author | Batbold, Tserendorj |
| author_facet | Batbold, Tserendorj |
| contents | New upper and lower bounds for the $\ell_p (1<p<\infty)$ norms of Cauchy-Toeplitz matrices in the form $T_n=[2/(1+2(i-j))]_{i,j=1}^n$ are derived. Moreover, we give a complete answer to a conjecture proposed by D. Bozkurt. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17566 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the $\ell_p$ and $\ell_{p,q}$ norms of Cauchy-Toeplitz matrices Batbold, Tserendorj Classical Analysis and ODEs Functional Analysis 15A60, 15A45 New upper and lower bounds for the $\ell_p (1<p<\infty)$ norms of Cauchy-Toeplitz matrices in the form $T_n=[2/(1+2(i-j))]_{i,j=1}^n$ are derived. Moreover, we give a complete answer to a conjecture proposed by D. Bozkurt. |
| title | On the $\ell_p$ and $\ell_{p,q}$ norms of Cauchy-Toeplitz matrices |
| topic | Classical Analysis and ODEs Functional Analysis 15A60, 15A45 |
| url | https://arxiv.org/abs/2501.17566 |