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Research Article Open access CC BY 4.0

On the Norms of Toeplitz Matrices with the Generalized Oresme Numbers

Sevda Aktas, Yüksel Soykan

Asian Journal of Advanced Research and Reports · pp. 41–57 · Published 31 Jul 2023

10.9734/ajarr/2023/v17i10532

Abstract

In this article, we present results on Toeplitz matrices with Oresme numbers components. First, the Toeplitz matrices with Oresme numbers components are created and then the Frobenius(Euclidian), row and column norms of these matrices are found. Furthermore lower and upper bounds are obtained for the spectral norms of these matrices. In addition, the upper bounds for the Frobenius and spectral norms of the Kronecker and Hadamard product matrices of the Toeplitz matrices with the Oresme numbers are calculated.

Oresme numbers Toeplitz matrix norm Hadamard product Kronecker product

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Cited by 6

On Generalizations of Dickson k-Fibonacci Polynomials

Engin Ozkan, Hakan Akkus · WSEAS TRANSACTIONS ON MATHEMATICS · 2024

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