1Department of Mathematics, Ankara Hacı Bayram Veli University, Ankara 06900, Turkey
Acta mathematica Universitatis Comenianae, Tome 94 (2025) no. 1, pp. 1-5
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Fatih Yılmaz; Umut Selvi; Samet Arpacı; Fatih Yılmaz; Umut Selvi; Samet Arpacı. An explicit formula for spectral norms of circulant matrices with Chebyshev polynomials. Acta mathematica Universitatis Comenianae, Tome 94 (2025) no. 1, pp. 1-5. http://geodesic.mathdoc.fr/item/AMUC_2025_94_1_a0/
@article{AMUC_2025_94_1_a0,
author = {Fatih Y{\i}lmaz and Umut Selvi and Samet Arpac{\i} and Fatih Y{\i}lmaz and Umut Selvi and Samet Arpac{\i}},
title = { An explicit formula for spectral norms of circulant matrices with {Chebyshev} polynomials},
journal = {Acta mathematica Universitatis Comenianae},
pages = {1--5},
year = {2025},
volume = {94},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2025_94_1_a0/}
}
TY - JOUR
AU - Fatih Yılmaz
AU - Umut Selvi
AU - Samet Arpacı
AU - Fatih Yılmaz
AU - Umut Selvi
AU - Samet Arpacı
TI - An explicit formula for spectral norms of circulant matrices with Chebyshev polynomials
JO - Acta mathematica Universitatis Comenianae
PY - 2025
SP - 1
EP - 5
VL - 94
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2025_94_1_a0/
ID - AMUC_2025_94_1_a0
ER -
%0 Journal Article
%A Fatih Yılmaz
%A Umut Selvi
%A Samet Arpacı
%A Fatih Yılmaz
%A Umut Selvi
%A Samet Arpacı
%T An explicit formula for spectral norms of circulant matrices with Chebyshev polynomials
%J Acta mathematica Universitatis Comenianae
%D 2025
%P 1-5
%V 94
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2025_94_1_a0/
%F AMUC_2025_94_1_a0
The spectral norms of circulant matrices containing some well-known number sequences are computed in numerous publications in the literature; however, they only provide bounds for the spectral norms. In this paper, we provide an explicit formula for the circulant matrix involving the Chebyshev polynomials of the second-kind.