Geodesic
On refinements of certain inequalities for means
Archivum mathematicum, Tome 31 (1995) no. 4, pp. 279-282
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In this paper we obtain certain refinements (and new proofs) for inequalities involving means, results attributed to Carlson; Leach and Sholander; Alzer; Sndor; and Vamanamurthy and Vuorinen.
In this paper we obtain certain refinements (and new proofs) for inequalities involving means, results attributed to Carlson; Leach and Sholander; Alzer; Sndor; and Vamanamurthy and Vuorinen.
Classification : 26D15, 26D20
Keywords: identric mean; logarithmic mean; arithmetic-geometric; mean of Gauss; inequalities 
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Sándor, J. On refinements of certain inequalities for means. Archivum mathematicum, Tome 31 (1995) no. 4, pp. 279-282. http://geodesic.mathdoc.fr/item/ARM_1995_31_4_a3/

[1] Alzer, H.: Ungleichungen für Mittelwerte. Arch. Math.(Basel) 47 (1986), 422-426. | MR | Zbl

[2] Alzer, H.: Two inequalities for means. C. R. Math. Rep. Acad. Sci. Canada 9 (1987), 11-16. | MR | Zbl

[3] Carlson, B. C.: The logarithmic mean. Amer. Math. Monthly 79 (1972), 615- 618. | MR | Zbl

[4] Leach, E. B., Sholander, M. C.: Extended mean values II. J. Math. Anal. Appl. 92 (1983), 207-223. | MR

[5] Pittinger, A. O.: Inequalities between arithmetic and logarithmic means. Univ. Beograd Publ. Elektr. Fak. Ser. Mat. Fiz 680 (1980), 15-18. | MR

[6] S ndor, J.: On the identric and logarithmic means. Aequationes Math. 40 (1990), 261-270. | MR

[7] S ndor, J.: A note on some inequalities for means. Arch. Math. (Basel) 56 (1991), 471-473. | MR

[8] S ndor, J.: On certain identities for means. Studia Univ. Babes-Bolyai (Cluj) 38 (1993), 7-14. | MR

[9] Seiffert, H.-J.: Comment to Problem 1365. Math. Mag. 65 (1992), 356.

[10] Stolarsky, K. B.: The power and generalized logarithmic means. Amer. Math. Monthly 87 (1980), 545-548. | MR | Zbl

[11] Vamanamurthy, M. K., Vuorinen, M.: Inequalities for means. J. Math. Anal. Appl. 183 (1994), 155-166. | MR