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This article is cited in 4 scientific papers (total in 4 papers)
Estimates of the Least Positive Root of the Sum of a Sine Series with Monotone Coefficients
A. Yu. Popov M. V. Lomonosov Moscow State University
Abstract:
In this paper, the extremal problem of finding the infimum of the positive roots of the sum of a sine series with monotone coefficients for special subclasses of such series is solved.
Keywords:
sine series, trigonometric polynomial, Abel transformation, roots of the sum of a series.
Received: 24.12.2013 Revised: 26.05.2014
Citation:
A. Yu. Popov, “Estimates of the Least Positive Root of the Sum of a Sine Series with Monotone Coefficients”, Mat. Zametki, 96:5 (2014), 747–761; Math. Notes, 96:5 (2014), 753–766
Linking options:
https://www.mathnet.ru/eng/mzm10435https://doi.org/10.4213/mzm10435 https://www.mathnet.ru/eng/mzm/v96/i5/p747
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Abstract page: | 516 | Full-text PDF : | 212 | References: | 68 | First page: | 43 |
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