Sharp upper and lower bounds for a sine polynomial

Horst Alzer and Man Kam Kwong

Applied Mathematics and Computation, 2016, vol. 275, issue C, 81-85

Abstract: We prove that for all n ≥ 1 and x ∈ (0, π) we have α≤∑k=1nsin(kx)k(n+1−k)≤βwith the best possible constant bounds α=3−336430−233=−0.18450…andβ=1.

Keywords: Fejér–Jackson inequality; Sine polynomial; Sharp bounds (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:275:y:2016:i:c:p:81-85

DOI: 10.1016/j.amc.2015.11.032

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