Displaying similar documents to “A sequence of binomial coefficients related to Lucas and Fibonacci numbers.”

Some norm inequalities for special Gram matrices

Ramazan Türkmen, Osman Kan, Hasan Gökbas (2016)

Special Matrices

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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〉.