The Quasi-Sure Limit of Convex Combinations of Nonnegative Measurable Functions
This study shows that, for a sequence of nonnegative valued measurable functions, a sequence of convex combinations converges to a nonnegative function in the quasi-sure sense. This can be used to prove some existence results in multiprobabilities models, and an example application in finance is dis...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/3695869 |
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| _version_ | 1832567983437774848 |
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| author | Yulian Fan |
| author_facet | Yulian Fan |
| author_sort | Yulian Fan |
| collection | DOAJ |
| description | This study shows that, for a sequence of nonnegative valued measurable functions, a sequence of convex combinations converges to a nonnegative function in the quasi-sure sense. This can be used to prove some existence results in multiprobabilities models, and an example application in finance is discussed herein. |
| format | Article |
| id | doaj-art-0a6206b6da534e68b282bd220f0b9626 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0a6206b6da534e68b282bd220f0b96262025-02-03T01:00:00ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/36958693695869The Quasi-Sure Limit of Convex Combinations of Nonnegative Measurable FunctionsYulian Fan0School of Science, North China University of Technology, Beijing 100144, ChinaThis study shows that, for a sequence of nonnegative valued measurable functions, a sequence of convex combinations converges to a nonnegative function in the quasi-sure sense. This can be used to prove some existence results in multiprobabilities models, and an example application in finance is discussed herein.http://dx.doi.org/10.1155/2019/3695869 |
| spellingShingle | Yulian Fan The Quasi-Sure Limit of Convex Combinations of Nonnegative Measurable Functions Journal of Function Spaces |
| title | The Quasi-Sure Limit of Convex Combinations of Nonnegative Measurable Functions |
| title_full | The Quasi-Sure Limit of Convex Combinations of Nonnegative Measurable Functions |
| title_fullStr | The Quasi-Sure Limit of Convex Combinations of Nonnegative Measurable Functions |
| title_full_unstemmed | The Quasi-Sure Limit of Convex Combinations of Nonnegative Measurable Functions |
| title_short | The Quasi-Sure Limit of Convex Combinations of Nonnegative Measurable Functions |
| title_sort | quasi sure limit of convex combinations of nonnegative measurable functions |
| url | http://dx.doi.org/10.1155/2019/3695869 |
| work_keys_str_mv | AT yulianfan thequasisurelimitofconvexcombinationsofnonnegativemeasurablefunctions AT yulianfan quasisurelimitofconvexcombinationsofnonnegativemeasurablefunctions |