A strong form of almost differentiability
We present a uniformization of Reeken's macroscopic differentiability (see [5]), discuss its relations to uniform differentiability (see [6]) and classical continuous differentiability, prove the corresponding chain rule, Taylor's theorem, mean value theorem, and inverse mapping theorem. A...
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| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2011
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| Texto completo: | http://hdl.handle.net/10773/4152 |
| País: | Portugal |
| Oai: | oai:ria.ua.pt:10773/4152 |
| Resumo: | We present a uniformization of Reeken's macroscopic differentiability (see [5]), discuss its relations to uniform differentiability (see [6]) and classical continuous differentiability, prove the corresponding chain rule, Taylor's theorem, mean value theorem, and inverse mapping theorem. An attempt to compare it with the observability (see [1, 4]) is made too. © 2009 Springer Science+Business Media, Inc. |
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