On the positivity of average sums of sine series with monotone coefficients

DOI10.1134/S0001434621090327zbMath1480.42005MaRDI QIDQ2666635

E. D. Alferova, Anton Yu. Popov

Publication date: 23 November 2021

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

zbMATH Keywords

monotone coefficientssine seriesconjugate Dirichlet kernels

Mathematics Subject Classification ID

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

Related Items (2)

Uniform convergence of sine series with fractional-monotone coefficients ⋮ Counterexamples to the Hardy-Littlewood theorem for generalized monotone sequences

Cites Work

• Unnamed Item
• Estimates of the sums of sine series with monotone coefficients of certain classes
• Refinement of estimates of sums of sine series with monotone coefficients and cosine series with convex coefficients
• On Sine Series with Monotone Coefficients

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