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On weighted Hermite-Hadamard inequalities |
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| Authors: | Zhen-Gang Xiao Yu-Dong Wu |
| Affiliation: | a Department of Mathematics, Hunan Institute of Science and Technology, Yueyang City, Hunan Province 414006, China b Department of Mathematics, Shili Senior High School in Zixing, Chenzhou City, Hunan Province 423400, China c Department of Mathematics, Zhejiang Xinchang High School, Shaoxing City, Zhejiang Province 312500, China |
| Abstract: | In this paper, we give a weighted form of the Hermite-Hadamard inequalities. Some applications of them are also derived. The results presented here would provide extensions of those given in earlier works. Finally we pose two interesting problems. |
| Keywords: | Weighted Hermite-Hadamard&rsquo s inequalities Jensen&rsquo s inequality Convex function |
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