Another refinement of the Pólya–Szegö 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 Pólya–Szegö inequality in a triangle, which is associated with one of Chen’s theorems (see Chen (1993) [12] and Chen (2000) [13]). Some remarks and...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2010-08, Vol.60 (3), p.761-770
Main Authors: Wu, Yu-Dong, Lokesha, V., Srivastava, H.M.
Format: Article
Language:English
Subjects:
Best constant
Chen’s theorems
Computer softwares Bottema and Maple (Version 9.0)
Discriminant sequence
Nonlinear algebraic equation systems
Pólya–Szegö inequality in a tetrahedron
Pólya–Szegö inequality in a triangle
Sylvester’s resultant
Weitzenböck’s inequality
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Summary:In this paper, the authors make use of certain analytical techniques for nonlinear algebraic equation systems in order to give another refinement of the Pólya–Szegö inequality in a triangle, which is associated with one of Chen’s theorems (see Chen (1993) [12] and Chen (2000) [13]). Some remarks and observations, as well as two closely-related open problems, are also presented.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2010.05.023