Some Equivalent Forms of Bernoulli’s Inequality: A Survey - Applied Mathematics

AM > Vol.4 No.7, July 2013

Some Equivalent Forms of Bernoulli’s Inequality: A Survey ()

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DOI: 10.4236/am.2013.47146 8,203 Downloads 12,311 Views Citations

Author(s)

Yuan-Chuan Li¹, Cheh-Chih Yeh^2,3

Affiliation(s)

¹Department of Applied Mathematics, National Chung-Hsing University, Taichung.
²Department of Mathematics, National Central University, Taoyuan.
³Department of Information Management, Lunghwa University of Science and Technology, Taoyuan.

ABSTRACT

The main purpose of this paper is to link some known inequalities which are equivalent to Bernoulli’s inequality.

KEYWORDS

Bernoulli’s Inequality; Young’s Inequality; Jensen’s Inequality; Hölder’s Inequality; Cauchy’s Inequality;

Share and Cite:

Y. Li and C. Yeh, "Some Equivalent Forms of Bernoulli’s Inequality: A Survey," Applied Mathematics, Vol. 4 No. 7, 2013, pp. 1070-1093. doi: 10.4236/am.2013.47146.

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