On the norms of circulant and \(r\)-circulant matrices with the hyperharmonic Fibonacci numbers

DOI10.1186/s13660-015-0778-1zbMath1335.15032arXiv1505.07305OpenAlexW1871695189WikidataQ59430163 ScholiaQ59430163MaRDI QIDQ265130

Naim Tuglu, Can Kızılateş

Publication date: 1 April 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07305

zbMATH Keywords

inequalitiesmatrix norm\(r\)-circulant matrixhyperharmonic Fibonacci number

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Matrices of integers (15B36) Sequences and sets (11B99) Matrices, determinants in number theory (11C20)

Related Items (12)

On the norms of circulant and \(r\)-circulant matrices with the hyperharmonic Fibonacci numbers ⋮ On the bounds for the spectral norms of geometric circulant matrices ⋮ Unnamed Item ⋮ A new generalization of the Frank matrix and its some properties ⋮ Some results on \(q\)-harmonic number sums ⋮ Unnamed Item ⋮ On the norms of RFMLR-circulant matrices with the exponential and trigonometric functions ⋮ On \(k\)-circulant matrices involving the Pell-Lucas (and the modified Pell) numbers ⋮ Some congruences with $q-$binomial coefficients and $q-$harmonic numbers ⋮ On \(k\)-circulant matrices involving the Pell numbers ⋮ On the spectral norms of some circulant matrices with the trigonometric functions ⋮ On \(r\)-min and \(r\)-max matrices

Cites Work

• On the norms of circulant and \(r\)-circulant matrices with the hyperharmonic Fibonacci numbers
• A note on spectral norms of even-order \( r\)-circulant matrices
• On the bounds for the norms of \(r\)-circulant matrices with the Fibonacci and Lucas numbers
• The explicit identities for spectral norms of circulant-type matrices involving binomial coefficients and harmonic numbers
• On the norms of circulant matrices with the Fibonacci and Lucas numbers
• The identical estimates of spectral norms for circulant matrices with binomial coefficients combined with Fibonacci numbers and Lucas numbers entries
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