A simple proof of inequalities related to means

Main Article Content

Gou-Sheng Yang
Shuoh-Jung Liu

Abstract

The purpose of this paper is to give a fairly elementary method to prove that the function $u(\alpha)=[\frac{x^{\alpha}-y^{\alpha}}{\alpha(x-y)}]^{\frac{1}{\alpha -1}},$ $\alpha \neq 0,1, u(0)=I, u(1)=L, $ is strictly increasing, and to give a simple proof of the inequalities $x

Article Details

How to Cite
Yang, G.-S., & Liu, S.-J. (2009). A simple proof of inequalities related to means. Tamkang Journal of Mathematics, 40(4), 429–436. https://doi.org/10.5556/j.tkjm.40.2009.606
Section
Papers
Author Biographies

Gou-Sheng Yang

Department of Mathematics Tamkang University, Tamsui 25137, Taiwan, Republic of China.

Shuoh-Jung Liu

Department of Mathematics Tamkang University, Tamsui 25137, Taiwan, Republic of China.

Most read articles by the same author(s)

<< < 1 2 3