Estimates of the sums of sine series with monotone coefficients of certain classes
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Publication:869761
DOI10.1023/B:MATN.0000009019.66625.FBzbMath1156.42303OpenAlexW1975143794MaRDI QIDQ869761
Publication date: 9 March 2007
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/b:matn.0000009019.66625.fb
monotone sequencesine seriesestimate of the sum of a sine seriessum of a sine series with monotone coefficients
Related Items (14)
Asymptotics of multiple trigonometric series with monotone coefficients ⋮ Generalized double Fourier sine series ⋮ Functions with general monotone Fourier coefficients ⋮ Optimal two-sided estimates on the interval \([\pi/2,\pi\) of the sum of the sine series with convex coefficient sequence] ⋮ On small deviations of stationary Gaussian processes and related analytic inequalities ⋮ On the positivity of average sums of sine series with monotone coefficients ⋮ 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 ⋮ Two-sided estimates of the \(L^\infty \)-norm of the sum of a sine series with monotone coefficients \(\{b_k\}\) via the \(\ell^\infty \)-norm of the sequence \(\{kb_k\}\) ⋮ Sharp two-sided estimate for the sum of a sine series with convex slowly varying sequence of coefficients ⋮ Smoothness and asymptotic properties of functions with general monotone Fourier coefficients ⋮ Estimates with sharp constants of the sums of sine series with monotone coefficients of certain classes in terms of the Salem majorant ⋮ 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
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