Sums involving Fibonacci and Pell numbers.
Melham, R. (1999)
Portugaliae Mathematica
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Melham, R. (1999)
Portugaliae Mathematica
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Belbachir, Hacéne, Bencherif, Farid, Szalay, László (2007)
Journal of Integer Sequences [electronic only]
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Garth, David, Mills, Donald, Mitchell, Patrick (2007)
Journal of Integer Sequences [electronic only]
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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〉.
Sellers, James A. (2002)
Journal of Integer Sequences [electronic only]
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Codecà, P., Taddia, N. (2002)
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Mansour, Toufik (2004)
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International Journal of Mathematics and Mathematical Sciences
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Sulaiman, W.T. (1999)
Portugaliae Mathematica
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