We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
An abstract is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)
References
1
Mitrinović, D. S., Handbook of means and their inequalities, Springer (1971).Google Scholar
Bullen, P. S., Handbook of Means and their inequalities, Dordrecht: Kluwer Academic Publishers (2003).CrossRefGoogle Scholar
4
Chong, K. M., An inductive proof of the A.M. - G.M. inequality, Amer. Math. Monthly83(2) (1976) pp. 87–88.CrossRefGoogle Scholar
5
Genčev, M., On a proof of the inequality between the arithmetic and geometric means, Amer. Math. Monthly125(7) (2018) pp. 650–652.CrossRefGoogle Scholar
6
Rüthing, D., Proofs of the arithmetic-geometric mean inequality, Int. J. Math. Educ. Sci. Technol.13(1) (1982) pp. 49–54.CrossRefGoogle Scholar
7
Uchida, Y., A simple proof of the geometric-arithmetic mean inequality, J. Inequ. Pure Appl. Math. 9(2) (2008), Article 56.Google Scholar
8
Urmanian, Z., An inductive proof of the geometric-arithmetic mean inequality, Math. Gaz.84(499) (March 2008), pp. 101–102.CrossRefGoogle Scholar
9
Cauchy, A. L., Cours d’analyse de l'École Royale Polytechnique, première partie, Analyse algébrique, Paris (1821).Google Scholar
10
Beckenbach, E. F. and Bellman, R., Inequalities (3rd edn.), Ergebnisse der Mathematik, Band 30, Springer-Verlag, Berlin and New York (1971).Google Scholar