On Sine Series with Monotone Coefficients

DOI10.1112/JLMS/S1-28.1.102zbMath0050.07206OpenAlexW1988471049MaRDI QIDQ5817608

Aurel Wintner

Publication date: 1953

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s1-28.1.102

zbMATH Keywords

approximation and series expansion

Related Items (12)

Asymptotics of multiple trigonometric series with monotone coefficients ⋮ On the positivity of average sums of sine series with monotone coefficients ⋮ On the domain of constancy of the sign of a harmonic function in the unit disk with additional conditions on the boundary ⋮ Estimating the smallest positive zero of sine series of a harmonic function in a disk ⋮ On the sum of a trigonometric sine series with monotone coefficients ⋮ A sharp lower bound for the sum of a sine series with convex coefficients ⋮ The negative parts of the sums of sine series with quasimonotonic coefficients ⋮ Estimate for the integral of the absolute value of a sine series with monotone coefficients ⋮ Exact lower estimate of the upper limit of the ratio of the sum of sine series with monotone coefficients to its majorant ⋮ Refinement of estimates of sums of sine series with monotone coefficients and cosine series with convex coefficients ⋮ Asymptotic expansion of Mathieu power series and trigonometric Mathieu series ⋮ Estimates of the least positive root of the sum of a sine series with monotone coefficients

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