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Alternative proofs for monotonic and logarithmically convex properties of one-parameter mean values. (English) Zbl 1160.26008
Simpler proofs for results originally due to H. Alzer [Bayer. Akad. Wiss. Math.-Natur Kl. Sitzungsber. 1987, 1–9 (1988; Zbl 0601.26015) and ibid. 1988, 23–29 (1989; Zbl 0688.26009)] are given.

##### MSC:
 26D07 Inequalities involving other types of functions
Full Text:
##### References:
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