| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4664694 | Acta Mathematica Scientia | 2009 | 8 Pages |
Abstract
A generalized Rosenthal's inequality for Banach-space-valued martingales is proved, which extends the corresponding results in the previous literatures and characterizes the p-uniform smoothness and q-uniform convexity of the underlying Banach space. As an application of this inequality, the strong law of large numbers for Banach-space-valued martingales is also given.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
