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On certain inequalities for means in two variables. (English) Zbl 1167.26314
Summary: We show that certain inequalities for the means \(A, G, L, I\) proved by H.-J. Seiffert [Arch. Math. 64, No. 2, 129–131 (1995; Zbl 0813.26009)] as well as by H. Alzer and S.-L. Qiu [Arch. Math. 80, No. 2, 201–215 (2003; Zbl 1020.26011)] are consequences of some results of the author [Inequalities for means, in: 3–4 Proc. 3rd Symp. Math. Appl., 87–90 (1989); Arch. Math. 56, No. 5, 471–473 (1991; Zbl 0693.26005) and Nieuw Arch. Wiskd., IV. Ser. 15, No. 1–2, 51–55 (1997; Zbl 0938.26011)].
MSC:
26D07 Inequalities involving other types of functions
26E60 Means
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