Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 28, No. 1, pp. 21-24 (2012)

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

Shi-Chang Shi and Yu-Dong Wu

Zhejiang Teaching and Research Institute; Zhejiang Xinchang High School

Abstract: 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.

Keywords: homogeneous inequality, AM-GM inequality, sequence inequality

Classification (MSC2000): 26D05

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