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Alzer, Horst. On Weighted Geometric Means. Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 199-206. doi: 10.4153/CMB-1989-030-4
@article{10_4153_CMB_1989_030_4,
author = {Alzer, Horst},
title = {On {Weighted} {Geometric} {Means}},
journal = {Canadian mathematical bulletin},
pages = {199--206},
year = {1989},
volume = {32},
number = {2},
doi = {10.4153/CMB-1989-030-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-030-4/}
}
[1] 1. Alzer, H., liber Mittelwerte, die zwischen dem geometrischen und dem logarithmischen Mittel zweier Zahlen liegen, Anz. Ôsterr. Akad. Wiss., math.-naturw. Kl. 123 (1986), 5–9. Google Scholar
[2] 2. Alzer, H., Two inequalities for means, C.R. Math. Rep. Acad. Sci. Canada 9 (1986), 11-16. Google Scholar
[3] 3. Alzer, H., On an inequality of Ky Fan, J. Math. Anal. Appl. 137 (1989), 168-172. appear). Google Scholar
[4] 4. Alzer, H., On Stolarsky's mean value family, Int. J. Math. Educ. Sci. Technol. (to appear). Google Scholar
[5] 5. Beckenbach, E. F., and Bellman, R., Inequalities, Springer, Berlin, 1983. Google Scholar
[6] 6. Bullen, P. S., Rado's inequality, Aequat. Math. 5 (1971), 149-156. Google Scholar
[7] 7. Bullen, P. S., An inequality ofN. Levinson, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. 412-460 (1973), 109–112. Google Scholar
[8] 8. Hardy, G. H., Littlewood, J. E., and G. Pôlya, Inequalities, Cambridge Univ. Press, Cambridge, 1952. Google Scholar
[9] 9. Kralik, D., Ûber einige Verallgemeinerungsmoglichkeiten des logarithmischen Mittels zweier Zahlen, Per. Polytechn. Chemical Eng. 16 (1972), 373–379. Google Scholar
[10] 10. Leach, E. B., and Sholander, M. C., Extended mean values, Amer. Math. Monthly 85 (1978), 84-90. Google Scholar
[11] 11. Leach, E. B., Extended mean values II, J. Math. Anal. Appl. 92 (1983), 207-223. Google Scholar
[12] 12. Leach, E. B., Multi-variable extended mean values, J. Math. Anal. Appl. 104 (1984), 390–407. Google Scholar
[13] 13. Levinson, N., Generalization of an inequality of Ky Fan, J. Math. Anal. Appl. 8 (1964), 133-134. Google Scholar
[14] 14. McAdams, W. H., Heat Transmission, McGraw-Hill, New York, 1954. Google Scholar
[15] 15. Mitrinovic, D. S., Analytic Inequalities, Springer, Berlin, 1970. Google Scholar
[16] 16. Pittenger, A. O., The logarithmic mean in n variables, Amer. Math. Monthly 92 (1985), 99-104. Google Scholar
[17] 17. P, G.ôlya, and Szego, G., Isoperimetric Inequalities in mathematical physics, Princeton, 1951. Google Scholar
[18] 18. Popoviciu, T., Asupa una inegalitâti intre medii, Acad. Romine, R. P. Fil. Cluj. Stud. Cere. Mat. 11 (1960), 343–355. Google Scholar
[19] 19. Popoviciu, T., Sur une inégalité de N. Levinson, Mathematica (Cluj) 6 (1964), 301-306. Google Scholar
[20] 20. Stolarsky, K. B., Generalizations of the logarithmic mean, Math. Mag. 48 (1975), 87-92. Google Scholar
[21] 21. Vasic, P. M., and Mijalkovic, Z., On an index set function connected with Jensen inequality, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. 544-576(1976), 110–112. Google Scholar
[22] 22. Vasic, P. M., and Pecaric, J. E., On the Jensen inequality, Univ. Beograd. Publ.Elektrotehn. Fak. Ser. Mat. Fiz. 634-677 (1979), 50–54. Google Scholar
[23] 23. Wang, C.-L., On a Ky Fan inequality of the complementary A-G type and its variants, J. Math. Anal. Appl. 73 (1980), 501–505. Google Scholar
[24] 24. Wang, C.-L., Functional equation approach to inequalities II, J. Math. Anal. Appl. 78 (1980), 522-530. Google Scholar
[25] 25. Wang, C.-L., Inequalities of the Rado-Popoviciu type for functions and their applications, J. Math. Anal. Appl. 100 (1984), 436–446. Google Scholar
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