
06492910
j
Ko, Deahyeon
Park, Jeongmin
Baek, Eunha
Kim, Moonsup
Han, Inki
A study on generating and proving inequalities using parameterization to elementary symmetric polynomials.
East Asian Math. J. 30, No. 2, 93121 (2014).
2014
Youngnam Mathematical Society c/o Kyungnam University, Department of Mathematical Education, Changwon
KO
H30
E50
symmetric inequality
elementary symmetric polynomial
proof
doi:10.7858/eamj.2014.009
Summary: In this paper we study generating and proving methods of symmetric inequalities. We analyze various literatures related to proofs of symmetric inequalities. As a result, we can describe a generating method of symmetric inequalities, and suggest some symmetric inequalities that are generated by using parametrization to elementary symmetric polynomials. And we are able to classify some proving methods, and show proofs of symmetric inequalities.