Geodesic
Estimates of the Least Positive Root of the Sum of a Sine Series with Monotone Coefficients
Matematičeskie zametki, Tome 96 (2014) no. 5, pp. 747-761

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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, roots of the sum of a series.
Mots-clés : Abel transformation 
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     author = {A. Yu. Popov},
     title = {Estimates of the {Least} {Positive} {Root} of the {Sum} of a {Sine} {Series} with {Monotone} {Coefficients}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {747--761},
     publisher = {mathdoc},
     volume = {96},
     number = {5},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_96_5_a10/}
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A. Yu. Popov. Estimates of the Least Positive Root of the Sum of a Sine Series with Monotone Coefficients. Matematičeskie zametki, Tome 96 (2014) no. 5, pp. 747-761. http://geodesic.mathdoc.fr/item/MZM_2014_96_5_a10/