SOME NEW APPROACHES IN THE THEORY OF TRIGONOMETRIC SERIES WITH MONOTONE COEFFICIENTS
In this paper, we observe the latest results concerning the trigonometric series whose coefficients are monotone or fractional monotone. We study the asymptotic properties of the sums for both classes of series and also the problems of convergence and integrability for series with fractional monotone coefficients.
Authors
- Mikhail Ivanovich Dyachenko
- Алексей Петрович Солодов (ORCID: https://orcid.org/0000-0002-5910-2736)
Publication Details
- Journal
- Eurasian Mathematical Journal
- Published
- 2025-01-01
- DOI
- https://doi.org/10.32523/2077-9879-2025-16-1-22-31
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Università degli Studi di Padova
- RUDN University