Сходимость возле точки и теоремы типа Арцела - Асколи
Theorems are proved giving necessary and sufficient conditions for the convergence of a sequence of continuous (differentiable) functions to a continuous (differentiable) function. The concepts of convergence near a point and equipotential convergence near a point are introduced. These concepts are...
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| Datum: | 1993 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Russian |
| Veröffentlicht: |
Інститут математики НАН України
1993
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| Schriftenreihe: | Український математичний журнал |
| Schlagworte: | |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/155010 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Сходимость возле точки и теоремы типа Арцела - Асколи / В.И. Кузьмич // Український математичний журнал. — 1993. — Т. 45, № 8. — С. 1090–1095. — Бібліогр.: 1 назв. — рос. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | Theorems are proved giving necessary and sufficient conditions for the convergence of a sequence of continuous (differentiable) functions to a continuous (differentiable) function. The concepts of convergence near a point and equipotential convergence near a point are introduced. These concepts are introduced locally; on a segment, they are equivalent to the quasiuniform convergence and to the uniform convergence of a sequence of functions, respectively. |
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