Uniform convergence criterion for non-harmonic sine series

DOI10.1070/SM9445zbMath1460.42005arXiv2011.14161OpenAlexW3117480534MaRDI QIDQ5858148

K. A. Oganesyan

Publication date: 9 April 2021

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.14161

zbMATH Keywords

uniform convergenceWeyl sumsmonotone coefficientssine seriesfractional parts of values of polynomial

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Weyl sums (11L15) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (2)

A note on derivative of sine series with square root ⋮ Trigonometric series with noninteger harmonics

Cites Work

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• Bounds for the cubic Weyl sum
• On the uniform convergence and boundedness of a certain class of sine series
• Trigonometric series with general monotone coefficients
• Best approximation and moduli of smoothness: Computation and equivalence theorems
• On the uniform convergence of sine series with quasimonotone coefficients
• On the uniform convergence of sine series with square root
• Mean value estimates for odd cubic Weyl sums
• Distribution of the fractional parts of a polynomial, Weyl sums, and ergodic theory
• ON A SPECIAL TRIGONOMETRIC SERIES AND ITS APPLICATIONS
• Uniform Convergence of Trigonometric Series with General Monotone Coefficients
• On Weyl's inequality and Waring's problem for cubes

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