A positive functional bound for certain sine sums
Date
2000Source
Analysis MathematicaVolume
26Issue
1Pages
35-52Google Scholar check
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The positivity of the sine sums Σnk=1 sin kθ/k + 1 in (0, π) has been established by G. Brown and D. C. Wilson. In this paper, we sharpen this result by giving a positive functional estimate from below for these sine sums which does not depend on n. The corresponding problem for a more general class of sine sums is also discussed. © 2000 Akadémiai Kiadó.