Another refinement of the Polya-Szego inequality
In this paper, the authors make use of certain analytical techniques for nonlinear algebraic equation systems in order to give another refinement of the Polya-Szego inequality in a triangle, which is associated with one of Chen's theorems (see Chen (1993)1121 and Chen (2000) [131]). Some remarks and observations, as well as two closely-related open problems, are also presented. (C) 2010 Elsevier Ltd. All rights reserved.
nonlinear algebraic equation systems polya-szego inequality in a triangle chen's theorems best constant sylvester's resultant discriminant sequence computer softwares bottema and maple (version 9.0) polya-szego inequality in a tetrahedron weitzenbock's inequality