Sharp upper and lower bounds for a sine polynomial

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摘要

We prove that for all n ≥ 1 and x ∈ (0, π) we have with the best possible constant bounds

论文关键词:Fejér–Jackson inequality,Sine polynomial,Sharp bounds

论文评审过程:Received 7 April 2015, Accepted 9 November 2015, Available online 12 December 2015, Version of Record 12 December 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.11.032