A sharp bound for a sine polynomial
Date
2003Source
Colloquium MathematicumVolume
96Issue
1Pages
83-91Google Scholar check
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We prove that (Formula Presented) for all integers n ≥ 1 and real numbers x. The upper bound Si(π) is best possible. This result refines inequalities due to Fejér (1910) and Lenz (1951). © 2003, Instytut Matematyczny. All rights reserved.