| Autor: |
Xiaolin Zeng, Changying Ding |
| Jazyk: |
angličtina |
| Rok vydání: |
2017 |
| Předmět: |
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| Zdroj: |
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-14 (2017) |
| Druh dokumentu: |
article |
| ISSN: |
1029-242X |
| DOI: |
10.1186/s13660-017-1386-z |
| Popis: |
Abstract Based on the analysis of stratification structure on random normed modules, we first present the notion of random smoothness in random normed modules. Then, we establish the relations between random smoothness and random strict convexity. Finally, a type of Gâteaux differentiability is defined for random norms, and its relation to random smoothness is given. The results are helpful in the further study of geometry of random normed modules. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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