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arXiv · 2501.17566

On the $\ell_p$ and $\ell_{p,q}$ norms of Cauchy-Toeplitz matrices

Tserendorj Batbold
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Abstract

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.

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BibTeXRIS

Tserendorj Batbold. 2025-01-29. On the $\ell_p$ and $\ell_{p,q}$ norms of Cauchy-Toeplitz matrices. https://arxiv.org/abs/2501.17566

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