The optimal convex combination bounds of arithmetic and harmonic means for the Seiffert's mean.
Chu, Yu-Ming, Qiu, Ye-Fang, Wang, Miao-Kun, Wang, Gen-Di (2010)
Journal of Inequalities and Applications [electronic only]
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Chu, Yu-Ming, Qiu, Ye-Fang, Wang, Miao-Kun, Wang, Gen-Di (2010)
Journal of Inequalities and Applications [electronic only]
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We analyse mean values of functions with values in the boundary of a convex two-dimensional set. As an application, reverse integral inequalities imply exactly the same inequalities for the monotone rearrangement. Sharp versions of the classical Gehring lemma, the Gurov-Resetnyak theorem and the Muckenhoupt theorem are obtained.
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