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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access July 4, 2016

Some norm inequalities for special Gram matrices

  • Ramazan Türkmen , Osman Kan and Hasan Gökbas
From the journal Special Matrices


In this paper we firstly give majorization relations between the vectors Fn = {f0, f1, . . . , fn−1},Ln = {l0, l1, . . . , ln−1} and Pn = {p0, p1, . . . , pn−1} which constructed with fibonacci, lucas and pell numbers. Then we give upper and lower bounds for determinants, Euclidean norms and Spectral norms of Gram matrices GF=〈Fn,Fni〉, GL=〈Ln,Lni〉, GP=〈Pn,Pni〉, GFL=〈Fn,Lni〉, GFP=〈Fn,Pni〉.


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Received: 2016-1-13
Accepted: 2016-6-8
Published Online: 2016-7-4

©2016 Ramazan Türkmen et al.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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