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Volume 7, Issue 5, Article 184 |
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Convex Functions and Inequalities for Integrals
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Authors: |
Zhenglu Jiang, Xiaoyong Fu, Hongjiong Tian, |
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Keywords:
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Convex functions; Measure spaces; Lebesgue integrals; Banach spaces. |
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Date Received:
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04/06/05 |
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Date Accepted:
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01/12/06 |
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Subject Codes: |
Primary 26D15.
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Editors: |
Sever S. Dragomir, |
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Abstract: |
In this paper we present inequalities for integrals of functions that are the composition of nonnegative convex functions on an open convex set of a vector space and vector-valued functions in a weakly compact subset of a Banach vector space generated by -spaces for
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