On weighted Hermite–Hadamard inequalities

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.

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Bibliographic Details
Published in:Applied mathematics and computation 2011-10, Vol.218 (3), p.1147-1152
Main Authors: Xiao, Zhen-Gang, Zhang, Zhi-Hua, Wu, Yu-Dong
Format: Article
Language:English
Subjects:
Computation
Convex function
Hermite–Hadamard’s inequalities
Inequalities
Jensen’s inequality
Mathematical models
Weighted
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Description
Summary: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2011.03.081