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On the weighted generalization of the Hermite-Hadamard inequality and its applications. (English) Zbl 1181.26042
The author obtains a weighted generalization of the Hermite-Hadamard inequality. As applications, a refinement of Jensen’s inequality and some new inequalities of Hermite-Hadamard type are given.

##### MSC:
 26D15 Inequalities for sums, series and integrals of real functions 26D20 Analytical inequalities involving real functions 26D07 Inequalities involving other types of real functions
Full Text:
##### References:
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