The Proofs of the Arithmetic-Geometric Mean Inequality Through Both the Product and Binomial Inequalities

Authors

  • Benedict Barnes KWAME NKRUMAH UNIVERSITY OF SCIENCE AND TECHNOLOGY
  • E. Harris
  • N. F. Darquah
  • G. Hughes

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i4.3300

Keywords:

arithmetic-geometric inequality, first product inequality, sec- ond product inequality and binomial inequalities

Abstract

In this paper, we show new ways of proving the arithmetic-geometric
mean AGM inequality through the first product and the second product
inequalities. In addition, we prove the AGM inequality through the
binomial inequalities. These methods are alternative ways of proving
AGM inequalities.

Author Biography

Benedict Barnes, KWAME NKRUMAH UNIVERSITY OF SCIENCE AND TECHNOLOGY

MATHEMATICS DEPARTMENT

LECTURER

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Published

2018-10-24

How to Cite

Barnes, B., Harris, E., Darquah, N. F., & Hughes, G. (2018). The Proofs of the Arithmetic-Geometric Mean Inequality Through Both the Product and Binomial Inequalities. European Journal of Pure and Applied Mathematics, 11(4), 1100–1107. https://doi.org/10.29020/nybg.ejpam.v11i4.3300

Issue

Vol. 11 No. 4: (October 2018)

Section

Functional Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

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