Estimates of the least positive root of the sum of a sine series with monotone coefficients

DOI10.1134/S0001434614110145zbMath1316.42009MaRDI QIDQ2343920

Anton Yu. Popov

Publication date: 11 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

monotone coefficientstrigonometric polynomialAbel transformationsine seriesleast positive root

Mathematics Subject Classification ID

Trigonometric polynomials, inequalities, extremal problems (42A05) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (3)

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 ⋮ Refinement of estimates of sums of sine series with monotone coefficients and cosine series with convex coefficients

Cites Work

• Examples of trigonometric series with non-negative partial sums
• On the Behavior of Fourier Sine Transforms Near the Origin
• On Sine Series with Monotone Coefficients
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