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Volume 9, Issue 4, Article 96 |
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Hadamard Type Inequalities for $m$-Convex and $(\alpha,m)$-Convex Functions
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Authors: |
M. Klaricic Bakula, M. E. Özdemir, Josip E. Pecaric, |
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Keywords:
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$m$-convex functions, $(lpha,m)$-convex functions, Hadamard's inequalities |
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Date Received:
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03/03/08 |
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Date Accepted:
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31/07/08 |
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Subject Codes: |
26D15, 26A51.
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Editors: |
Edward Neuman, |
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Abstract: |
In this paper we establish several Hadamard type inequalities for differentiable  -convex and  -convex functions. We also establish Hadamard type inequalities for products of two -convex or -convex functions. Our results generalize some results of B.G. Pachpatte as well as some results of C.E.M. Pearce and J. Pecaric.
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