Email this article The Measure of the Set of Zeros of the Sum of a Nondegenerate Sine Series with Monotone Coefficients in the Closed Interval [0, π]
- Authors: Oganesyan K.A.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 103, No 3-4 (2018)
- Pages: 621-625
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/150762
- DOI: https://doi.org/10.1134/S000143461803029X
- ID: 150762
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Abstract
Nonzero sine series with monotone coefficients tending to zero are considered. It is shown that the measure of the set of those zeros of such a series which belong to [0, π] cannot exceed π/3. Moreover, if this value is attained, then almost all zeros belong to the closed interval [2π/3, π].
About the authors
K. A. Oganesyan
Lomonosov Moscow State University
Author for correspondence.
Email: oganchris@gmail.com
Russian Federation, Moscow
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