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Some improvements of Aczél’s inequality and Popoviciu’s inequality. (English) Zbl 1155.26313

Summary: We show several new generalized and sharpened versions of Aczél’s inequality and Popoviciu’s inequality, our results contain as special cases the improvement of certain known results on Aczél’s inequality and Popoviciu’s inequality. As application, an integral inequality of Aczél-Popoviciu type is obtained.

MSC:

26D20 Other analytical inequalities
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