Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-27T08:16:40.885Z Has data issue: false hasContentIssue false
  • English
  • Français

A NEW MEAN WITH INEQUALITIES

Part of: Inequalities

Published online by Cambridge University Press:  01 June 2008

K. HAMZA
K. HAMZA*
Affiliation:
School of Mathematical Sciences, Monash University, Vic 3800, Australia (email: [email protected])
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We introduce a new mean and compare it to the standard arithmetic, geometric and harmonic means. In fact we identify a generic way of constructing means from existing ones.

Keywords

arithmeticgeometric and harmonic meansgeneralized meansinequalities for means

MSC classification

Secondary: 26D15: Inequalities for sums, series and integrals
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 77 , Issue 3 , June 2008 , pp. 365 - 371
Copyright
Copyright © 2008 Australian Mathematical Society

References

[1]Aumann, G., ‘Über Räume mit Mittelbildungen’, Math. Ann. 119 (1944), 210–215.CrossRefGoogle Scholar
[2]Cauchy, A. L., Cours d’Analyse de l’École Royale Polytechnique, Première Partie, Analyse Algébrique (Imprimerie Royale, Paris, 1821).Google Scholar
[3]Hamza, K., Jagers, P., Sudbury, A. and Tokarev, D., ‘The mixing advantage is less than 2’, to appear.Google Scholar
[4]Zhu, L., ‘From chains for mean value inequalities to Mitrinovic’s problem II’, Internat. J. Math. Ed. Sci. Tech. 36(1) (2005), 118–125.CrossRefGoogle Scholar