Functions with general monotone Fourier coefficients
| العنوان: | Functions with general monotone Fourier coefficients |
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| المؤلفون: | A. S. Belov, M. I. Dyachenko, S. Yu. Tikhonov |
| المصدر: | Russian Mathematical Surveys. 76:951-1017 |
| بيانات النشر: | IOP Publishing, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | General Mathematics |
| الوصف: | This paper is a study of trigonometric series with general monotone coefficients in the class with . Sharp estimates are proved for the Fourier coefficients of integrable and continuous functions. Also obtained are optimal results in terms of coefficients for various types of convergence of Fourier series. For two-sided estimates are obtained for the -moduli of smoothness of sums of series with -coefficients, as well as for the (quasi-)norms of such sums in Lebesgue, Lorentz, Besov, and Sobolev spaces in terms of Fourier coefficients. Bibliography: 99 titles. |
| تدمد: | 1468-4829 0036-0279 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::b1258c8061333412e4f7292b57371ba7 https://doi.org/10.1070/rm10003 |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........b1258c8061333412e4f7292b57371ba7 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14684829 00360279 |
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