Explicit estimate of the convergence rate in the Riemann localization principle
- Авторлар: Popov A.Y.1,2, Semenova T.Y.1,2
-
Мекемелер:
- Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
- Moscow Center for Fundamental and Applied Mathematics
- Шығарылым: Том 89, № 6 (2025)
- Беттер: 162-182
- Бөлім: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/358693
- DOI: https://doi.org/10.4213/im9690
- ID: 358693
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Тек жазылушылар үшін
Аннотация
The convergence rate in the Riemann localization principle for trigonometric series is estimated.
S. A. Telyakovskii's result for integrable functions is refined.
Functions with$\operatorname{Lip}\alpha$ integral modulus of continuity and functions of bounded variation
are considered.
S. A. Telyakovskii's result for integrable functions is refined.
Functions with
are considered.
Негізгі сөздер
Авторлар туралы
Anton Popov
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics; Moscow Center for Fundamental and Applied Mathematics
Email: aypopov.msu@yandex.ru
Doctor of physico-mathematical sciences, Head Scientist Researcher
Tatyana Semenova
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics; Moscow Center for Fundamental and Applied MathematicsCandidate of physico-mathematical sciences, Associate professor
Әдебиет тізімі
- E. Hille, G. Klein, “Riemann's localization theorem for Fourier series”, Duke Math. J., 21:4 (1954), 587–591
- G. H. Hardy, J. E. Littlewood, “Some properties of fractional integrals. I”, Math. Z., 27:1 (1928), 565–606
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