A remark on weighted averages for superadditive processes
A decompostion of a superadditive process into a difference of an additive and a positive purely superadditive process is obtained. This result is used to prove an ergodic theorem for weighted averages of superadditive processes.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000571 |
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| _version_ | 1832553542133481472 |
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| author | Dogan Cömez |
| author_facet | Dogan Cömez |
| author_sort | Dogan Cömez |
| collection | DOAJ |
| description | A decompostion of a superadditive process into a difference of an additive
and a positive purely superadditive process is obtained. This result is used to prove
an ergodic theorem for weighted averages of superadditive processes. |
| format | Article |
| id | doaj-art-5399237337cd4ca08ecf7a3f3e3c0bd4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5399237337cd4ca08ecf7a3f3e3c0bd42025-02-03T05:53:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114343543810.1155/S0161171291000571A remark on weighted averages for superadditive processesDogan Cömez0Department of Mathematics, 300 Minard Hall, P.O. BOX 5075, North Dakota State University, Fargo 58105, ND, USAA decompostion of a superadditive process into a difference of an additive and a positive purely superadditive process is obtained. This result is used to prove an ergodic theorem for weighted averages of superadditive processes.http://dx.doi.org/10.1155/S0161171291000571ergodic theorembounded sequencessuperadditive process additive process. |
| spellingShingle | Dogan Cömez A remark on weighted averages for superadditive processes International Journal of Mathematics and Mathematical Sciences ergodic theorem bounded sequences superadditive process additive process. |
| title | A remark on weighted averages for superadditive processes |
| title_full | A remark on weighted averages for superadditive processes |
| title_fullStr | A remark on weighted averages for superadditive processes |
| title_full_unstemmed | A remark on weighted averages for superadditive processes |
| title_short | A remark on weighted averages for superadditive processes |
| title_sort | remark on weighted averages for superadditive processes |
| topic | ergodic theorem bounded sequences superadditive process additive process. |
| url | http://dx.doi.org/10.1155/S0161171291000571 |
| work_keys_str_mv | AT dogancomez aremarkonweightedaveragesforsuperadditiveprocesses AT dogancomez remarkonweightedaveragesforsuperadditiveprocesses |