Uniform Convergence of Trigonometric Series with General Monotone Coefficients
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Publication:5243497
DOI10.4153/CJM-2017-046-9zbMath1427.42003OpenAlexW2765419334MaRDI QIDQ5243497
Askhat Birlesovich Mukanov, M. I. D'yachenko, Sergey Yu. Tikhonov
Publication date: 18 November 2019
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/cjm-2017-046-9
Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)
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Cites Work
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- Ultimate generalization to monotonicity for uniform convergence of trigonometric series
- On the uniform convergence and boundedness of a certain class of sine series
- Trigonometric series with a generalized monotonicity condition
- Trigonometric series with general monotone coefficients
- Best approximation and moduli of smoothness: Computation and equivalence theorems
- A concept of general monotonicity and applications
- ON THE DEGREE OF APPROXIMATION TO A FUNCTION BY THE CESARO MEANS OF ITS FOURIER SERIES
- Some Theorems on Fourier Coefficients
- Integrability and continuity of functions represented by trigonometric series: coefficients criteria
- Decay of the Fourier Transform
- The Approximation by Partial Sums of Fourier Series
