TY - JOUR AU - Wei-Kai Lai, PY - 2021/12/15 Y2 - 2024/03/29 TI - An Alternative Proof for an Inequality with Cyclic Fractions JF - International Journal of Mathematics And its Applications JA - Int. J. Math. And Appl. VL - 9 IS - 4 SE - Research Article DO - UR - http://ijmaa.in/index.php/ijmaa/article/view/35 SP - 119-120 AB - <p>It is known that $\displaystyle \frac{a}{b}+\frac{b}{c}+\frac{c}{a}\geq\frac{a+b}{b+c}+\frac{b+c}{c+a}+\frac{c+a}{a+b}$ for any positive $a, b, c$. In this paper we provide an alternative proof for this inequality, and generalize it to an $n$-variable version.</p> ER -