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By Mr (i: D (a, Horst Shi, Xi Quan and Reviewed Stamatis Koumandos


Fn(x, y) = n∑ k=1 sin(kx) sin(ky) k 2, Gn(x, y) = Hn(x, y) = n∑ k=1 n∑ k=1 cos(kx) sin(ky) k 2. cos(kx) cos(ky) k 2, The authors prove that for all integers n ≥ 1 and real numbers x, y ∈ (0, π) one has Fn(x, y) < π2 8, −1 < Gn(x, y) < π2 6

Year: 2013
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