Publications
Article · Canadian Journal of Mathematics · October 23, 2017
Uniform Convergence of Trigonometric Series with General Monotone Coefficients
Mikhail Ivanovich Dyachenko, Askhat Birlesovich Mukanov, Sergey Yu. Tikhonov
Abstract
Abstract We study criteria for the uniform convergence of trigonometric series with general monotone coefficients. We also obtain necessary and sufficient conditions for a given rate of convergence of partial Fourier sums of such series.
Approximation Theory and Sequence SpacesAdvanced Harmonic Analysis ResearchMathematical Analysis and Transform Methodstrigonometric seriesuniform convergencemonotone coefficients
More by Askhat Mukanov
- On $$L_p$$-Integrability of Functions with General Monotone Fourier CoefficientsJournal of Fourier Analysis and Applications · 2026
- LORENTZ-TYPE THEOREMS IN LIPSCHITZ CLASSESScientific works/Elmi eserler · 2026
- Lorentz-type theorems for the Fourier transformsRendiconti del Circolo Matematico di Palermo Series 2 · 2026
- On $$L_p$$-Integrability of Multiple Trigonometric Series with General Monotone CoefficientsProceedings of the Steklov Institute of Mathematics · 2025 · Citations: 1
