A Positive Functional Bound for Certain Sine Sums |
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Authors: | Koumandos Stamatis |
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Institution: | (1) Department of Mathematics and Statistics, The University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus e-mail |
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Abstract: | The positivity of the sine sums > in (0, ) 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. |
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