Teoria da medida, análise matemática, álgebra linear e análise funcional
Metric Theory, Mathematical Analysis, Linear Algebra and Functional Analysis
Measure Theory, Mathematical Analysis, Linear Algebra and Functional Analysis
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, Campinas, SP - Brazil
[2] Univ Fed Sao Carlos, Dept Matemat, BR-13560 Sao Carlos, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Mathematische Nachrichten; v. 288, n. 5-6, p. 509-524, APR 2015. |
| Web of Science Citations: | 0 |
| Abstract | |
We present a form of the Mean Value Theorem (MVT) for a continuous function f between metric spaces, connecting it with the possibility to choose the ?() relation of f in a homeomorphic way. We also compare our formulation of the MVT with the classic one when the metric spaces are open subsets of Banach spaces. As a consequence, we derive a version of the Mean Value Propriety for measure spaces that also possesses a compatible metric structure. (AU) | |
| FAPESP's process: | 13/00594-8 - A study of fluid dynamics and its relationship with fractional in time derivatives |
| Grantee: | Paulo Mendes de Carvalho Neto |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |