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Sharp upper and lower bounds for a sine polynomial
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机译:正弦多项式的上界和下界
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摘要
We prove that for all n ≥ 1 and x ε (0, π) we have α≤∑k=1nsin(kx)k(n+1-k)≤;β with the best possible constant bounds α=3-336430-233=-0.18450...andβ=1.
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