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Volume 3, Issue 2, Article 31 |
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An Inequality Improving the First Hermite-Hadamard Inequality for Convex Functions Defined on Linear Spaces and Applications for Semi-Inner Products
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Authors: |
Sever S. Dragomir, |
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Keywords:
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Hermite-Hadamard integral inequality, Convex functions, Semi-Inner Products. |
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Date Received:
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16/11/01 |
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Date Accepted:
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15/02/02 |
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Subject Codes: |
26D15,26D10,46B10
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Editors: |
Constantin P. Niculescu, |
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Abstract: |
An integral inequality for convex functions defined on linear spaces is obtained which contains in a particular case a refinement for the first part of the celebrated Hermite-Hadamard inequality. Applications for semi-inner products on normed linear spaces are also provided.
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