Refinements of the Hermite-Hadamard integral inequality for log-convex functions (Q2772824)
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scientific article; zbMATH DE number 1708294
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Refinements of the Hermite-Hadamard integral inequality for log-convex functions |
scientific article; zbMATH DE number 1708294 |
Statements
24 November 2002
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Hermite-Hadamard inequality
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Jensen-Hadamard inequality
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integral inequalities
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differentiable log-convex functions
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0.96125376
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0.95697236
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0.9507737
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0.9491119
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0.94698334
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Refinements of the Hermite-Hadamard integral inequality for log-convex functions (English)
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Refinements of the classical Hermite-Hadamard (or Jensen-Hadamard) inequality for log-convex functions have been obtained recently by \textit{S. S. Dragomir} and \textit{B. Mond} [Demonstr. Math. 31, No. 2, 355-364 (1998; Zbl 0912.26009)]. In this paper, another refinement is given in the case of differentiable log-convex functions. Some remarks on applications for special means of two arguments are also pointed out.
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