Sharpening of Cauchy Inequality

  • Živojin Mijalković
  • Milan Mijalković
Part of the Mathematics and Its Applications book series (MAIA, volume 430)


A sharpening of the Cauchy A-G inequality is given. Also, some weighted generalisations are considered.

Key words and phrases

Cauchy A-G inequality Arithmetic mean Geometric mean Weighted means 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    P. S. Bullen, D. S. Mitrinović and P. M. Vasić, Means and Their Inequalities, Reidel Publishing Co., Dordrecht — Boston, 1988.zbMATHGoogle Scholar
  2. 2.
    D. S. Mitrinović (with P. M. Vasić), Analytic Inequalities, Springer Verlag, Berlin — Heidelberg — New York, 1970.zbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Živojin Mijalković
    • 1
  • Milan Mijalković
    • 2
  1. 1.Higher Technical SchoolNišYugoslavia
  2. 2.Systems DevelopmentThe Bank of Nova ScotiaTorontoCanada

Personalised recommendations