The optimal convex combination bounds of arithmetic and harmonic means for the Seiffert's mean.
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Chu, Yu-Ming, Qiu, Ye-Fang, Wang, Miao-Kun, Wang, Gen-Di (2010)
Journal of Inequalities and Applications [electronic only]
Philippe Laurençot (2002)
Colloquium Mathematicae
If φ: [0,∞) → [0,∞) is a convex function with φ(0) = 0 and conjugate function φ*, the inequality is shown to hold true for every ε ∈ (0,∞) if and only if φ* satisfies the Δ₂-condition.
Brahim, Kamel (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Laforgia, Andrea, Natalini, P. (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Chu, Xiao-Guang, Zhang, Cheng-En, Qi, Feng (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
He, Lan (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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