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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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