Simple proofs of three homogeneous cyclic inequalities of three variables of degree three and four

摘要

In this short note, the authors give simple proofs of three homogeneous cyclic inequalities of three variables of degree three and four which were proved quite complicated in T. Ando, Some Homogeneous Cyclic Inequalities of Three Variables Of Degree Three and Four, Aust. J. Math. Anal. Appl. 7 (2010), no. 2, 1-14.