The 'core' of symmetric homogeneous polynomial inequalities of degree four of three real variables

  • Mariyan Milev
  • Nedelcho Milev
Keywords: Symmetric, homogeneous, polynomial, inequalities, degree four.

Abstract

In this paper we explore inequalities between symmetric homogeneous polynomials of degree four of three real variables and three nonnegative real variables. The main theorems describe the cases in which the smallest possible coefficient is not expressed by the other coefficients. The problem is resolved by introducing a parametric representation.


Mathematics Subject Classication (2010): 26D05.
Key words: Symmetric, homogeneous, polynomial, inequalities, degree four.

Published
2018-01-11
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606