| A Controlled Convergence Theorem for the C-Pettis Integral |
| Received:June 04, 2008 Revised:January 05, 2009 |
| Key Words:
C-integral C-Pettis integral controlled convergence.
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| Fund Project:Supported by the Natural Science Foundation of Hubei Province (Grant No.2007ABA124) and the Science Foundation of Hubei Normal University (Grant No.2007D41). |
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| Abstract: |
| In this paper, we give the Riemann-type extensions of Dunford integral and Pettis integral, C-Dunford integral and C-Pettis integral. We discuss the relationship between the C-Pettis integral and Pettis integral, and prove a controlled convergence theorem for the C-Pettis integral. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.04.021 |
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