In this paper we will construct a parameter-dependent cyclic inequality that can be used to prove a lot of hard and interesting inequalities. 1. Introduction The cyclic inequality is a type of inequality that may be right in just some particular cases but not in genenal. In this paper, we propose one type of parameter-dependent cyclic inequality from a special inequality. Thanks to this inequality, we can obtain many inequalities by choosing α and n. Note that it can be proved by some ways in particular case. However in order to prove it in general case, we have to.
