K-interpolations in problems of uniform approximation of functions
Given an arbitrary metric compactum Q, we compute the K-functional of a pair (C(Q), Cω(Q)) and derive two-sided bounds for (C[−π,π], C2 [−π,π]). We prove interpolation theorems and study applications to problems of the theory of approximation.
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| Datum: | 1992 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7894 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | Given an arbitrary metric compactum Q, we compute the K-functional of a pair (C(Q), Cω(Q)) and derive two-sided bounds for (C[−π,π], C2 [−π,π]). We prove interpolation theorems and study applications to problems of the theory of approximation. |
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