On Various Moduli of Smoothness and K-Functionals
We present a survey of the results on the exact rates of approximation of functions by linear means of Fourier series and Fourier integrals. The corresponding K -functionals are expressed via the special moduli of smoothness.
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| Veröffentlicht in: | Ukrainian mathematical journal 2020-12, Vol.72 (7), p.1131-1163 |
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| container_end_page | 1163 |
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| container_issue | 7 |
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| container_title | Ukrainian mathematical journal |
| container_volume | 72 |
| creator | Trigub, R. M. |
| description | We present a survey of the results on the exact rates of approximation of functions by linear means of Fourier series and Fourier integrals. The corresponding
K
-functionals are expressed via the special moduli of smoothness. |
| doi_str_mv | 10.1007/s11253-020-01848-0 |
| format | Article |
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| identifier | ISSN: 0041-5995 |
| ispartof | Ukrainian mathematical journal, 2020-12, Vol.72 (7), p.1131-1163 |
| issn | 0041-5995 1573-9376 |
| language | eng |
| recordid | cdi_gale_infotracacademiconefile_A682076444 |
| source | Springer Nature - Complete Springer Journals |
| subjects | Algebra Analysis Applications of Mathematics Geometry Mathematics Mathematics and Statistics Statistics |
| title | On Various Moduli of Smoothness and K-Functionals |
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