Exact Jackson - Stechkin-type inequalities for 2π -periodic functions in L 2 and widths of some classes of functions
We consider the problem of finding exact inequalities for the best approximations of periodical differentiable functions by trigonometric polynomials and the m -order moduli of continuity in the space L 2 and present their applications. For some classes of functions defined by the indicated moduli...
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| Datum: | 2011 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2011
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/2816 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We consider the problem of finding exact inequalities for the best approximations of periodical differentiable
functions by trigonometric polynomials and the m -order moduli of continuity in the space L 2 and present
their applications. For some classes of functions defined by the indicated moduli of continuity, we calculate
the exact values of n-widths in the space L 2 . |
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