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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
26D20 Other analytical inequalities
26D07 Inequalities involving other types of functions
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