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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 17 Issue: 1

On the Frobenius Norm of Commutator of Cauchy-Hankel Matrix and Exchange Matrix

Ahmet Öksüz(NECMETTİN ERBAKAN ÜNİVERSİTESİ)0000-0002-7355-5176
Süleyman Solak(NECMETTIN ERBAKAN UNIVERSITY, AHMET KELEŞOĞLU FACULTY OF EDUCATION)0000-0003-4085-277X
Pages
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Publication Date
2025-06-30
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⚡ TL;DR(Too Long; Didn't Read)

This paper gives upper and lower bounds for the Frobenius norm of the commutator of the exchange matrix and the Cauchy-Hankel matrix of the form $H_n=\left(\dfrac{2}{1+2(i+j)}\right)_{i,j=1}^n$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper gives upper and lower bounds for the Frobenius norm of the commutator of the exchange matrix and the Cauchy-Hankel matrix of the form $H_n=\left(\dfrac{2}{1+2(i+j)}\right)_{i,j=1}^n$.
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Key Findings & Data:This paper gives upper and lower bounds for the Frobenius norm of the commutator of the exchange matrix and the Cauchy-Hankel matrix of the form $H_n=\left(\dfrac{2}{1+2(i+j)}\right)_{i,j=1}^n$.
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Conclusion & Impact:This paper gives upper and lower bounds for the Frobenius norm of the commutator of the exchange matrix and the Cauchy-Hankel matrix of the form $H_n=\left(\dfrac{2}{1+2(i+j)}\right)_{i,j=1}^n$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Cauchy-Hankel matrix · matrix commutator · frobenius norm.

Abstract

This paper gives upper and lower bounds for the Frobenius norm of the commutator of the exchange matrix and the Cauchy-Hankel matrix of the form $H_n=\left(\dfrac{2}{1+2(i+j)}\right)_{i,j=1}^n$.

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Cite This Article

Öksüz, A., Solak, S. (2025). On the Frobenius Norm of Commutator of Cauchy-Hankel Matrix and Exchange Matrix. Turkish Journal of Mathematics and Computer Science, Volume: 17 Issue: 1. https://doi.org/10.47000/tjmcs.1553098

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