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- W2028835391 abstract "We prove the following theorem: Let m≥2 be a given integer and let a,b,c be real numbers. The inequalities ∑k=1nm+n−kmsin(kx)>ax2+bx+c>0 hold for all integers n≥2 and real numbers x∈(0,π) if and only if −m−1π≤a<0,b=−aπ,c=0. This refines a result due to Turán." @default.
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- W2028835391 date "2012-11-01" @default.
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- W2028835391 title "On a trigonometric inequality of Turán" @default.
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- W2028835391 doi "https://doi.org/10.1016/j.jat.2012.08.003" @default.
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