Explicit estimate of the convergence rate in the Riemann localization principle
- Autores: Popov A.Y.1,2, Semenova T.Y.1,2
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Afiliações:
- Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
- Moscow Center for Fundamental and Applied Mathematics
- Edição: Volume 89, Nº 6 (2025)
- Páginas: 162-182
- Seção: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/358693
- DOI: https://doi.org/10.4213/im9690
- ID: 358693
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Somente assinantes
Resumo
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.
Palavras-chave
Sobre autores
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
Bibliografia
- 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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