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On certain inequalities for means. II. (English) Zbl 0854.26013

The author offers new proofs and extensions of inequalities published by M. K. Vamanamurthy and M. Vuorinen in J. Math. Anal. Appl. 183, No. 1, 155-166 (1994; Zbl 0802.26009) and also new inequalities. Something old – something new is in the following: Gauss’s medium arithmetico-geometricum lies between the geometric and arithmetic mean of A and G, the arithmetic and geometric means of two positive numbers.

[For Part I cf. J. Math. Anal. Appl. 189, No. 2, 602-606 (1995; Zbl 0822.26014)].

26D15Inequalities for sums, series and integrals of real functions