On Properties of Pseudointegrals Based on Pseudoaddition Decomposable Measures
We mainly discussed pseudointegrals based on a pseudoaddition decomposable measure. Particularly, we give the definition of the pseudointegral for a measurable function based on a strict pseudoaddition decomposable measure by generalizing the definition of the pseudointegral of a bounded measurable...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/782040 |
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| _version_ | 1832560985214287872 |
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| author | Dong Qiu Chongxia Lu |
| author_facet | Dong Qiu Chongxia Lu |
| author_sort | Dong Qiu |
| collection | DOAJ |
| description | We mainly discussed pseudointegrals based on a pseudoaddition decomposable measure. Particularly, we give the definition of the pseudointegral for a measurable function based on a strict pseudoaddition decomposable measure by generalizing the definition of the pseudointegral of a bounded measurable function. Furthermore, we got several important properties of the pseudointegral of a measurable function based on a strict pseudoaddition decomposable measure. |
| format | Article |
| id | doaj-art-f88c696b73ae41798831f46af670e6be |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f88c696b73ae41798831f46af670e6be2025-02-03T01:26:20ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/782040782040On Properties of Pseudointegrals Based on Pseudoaddition Decomposable MeasuresDong Qiu0Chongxia Lu1College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, Chongqing 400065, ChinaCollege of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, Chongqing 400065, ChinaWe mainly discussed pseudointegrals based on a pseudoaddition decomposable measure. Particularly, we give the definition of the pseudointegral for a measurable function based on a strict pseudoaddition decomposable measure by generalizing the definition of the pseudointegral of a bounded measurable function. Furthermore, we got several important properties of the pseudointegral of a measurable function based on a strict pseudoaddition decomposable measure.http://dx.doi.org/10.1155/2014/782040 |
| spellingShingle | Dong Qiu Chongxia Lu On Properties of Pseudointegrals Based on Pseudoaddition Decomposable Measures Abstract and Applied Analysis |
| title | On Properties of Pseudointegrals Based on Pseudoaddition Decomposable Measures |
| title_full | On Properties of Pseudointegrals Based on Pseudoaddition Decomposable Measures |
| title_fullStr | On Properties of Pseudointegrals Based on Pseudoaddition Decomposable Measures |
| title_full_unstemmed | On Properties of Pseudointegrals Based on Pseudoaddition Decomposable Measures |
| title_short | On Properties of Pseudointegrals Based on Pseudoaddition Decomposable Measures |
| title_sort | on properties of pseudointegrals based on pseudoaddition decomposable measures |
| url | http://dx.doi.org/10.1155/2014/782040 |
| work_keys_str_mv | AT dongqiu onpropertiesofpseudointegralsbasedonpseudoadditiondecomposablemeasures AT chongxialu onpropertiesofpseudointegralsbasedonpseudoadditiondecomposablemeasures |