scientific article; zbMATH DE number 1069956

zbMath0945.42004MaRDI QIDQ4356734

Sergey A. Telyakovskii

Publication date: 1 October 1997

Full work available at URL: https://eudml.org/doc/120521

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zbMATH Keywords

JFM 54.0313.01sine series with monotone or convex coefficients

Mathematics Subject Classification ID

Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (10)

Asymptotics of multiple trigonometric series with monotone coefficients ⋮ Optimal two-sided estimates on the interval \([\pi/2,\pi\) of the sum of the sine series with convex coefficient sequence] ⋮ Exact constants in Telyakovskii's two-sided estimate of the sum of a sine series with convex sequence of coefficients ⋮ Asymptotics of sums of sine series with fractional monotonicity coefficients ⋮ Sharp two-sided estimate for the sum of a sine series with convex slowly varying sequence of coefficients ⋮ Estimates with sharp constants of the sums of sine series with monotone coefficients of certain classes in terms of the Salem majorant ⋮ Asymptotic decay of Fourier, Laplace and other integral transforms ⋮ 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

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