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Another refinement of the Pólya–Szegö inequality

✍ Scribed by Yu-Dong Wu; V. Lokesha; H.M. Srivastava

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
306 KB
Volume
60
Category
Article
ISSN
0898-1221

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✦ Synopsis

resultant Discriminant sequence Nonlinear algebraic equation systems Computer softwares Bottema and Maple (Version 9.0) Pólya-Szegö inequality in a tetrahedron Weitzenböck's inequality a b s t r a c t

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) ). Some remarks and observations, as well as two closely-related open problems, are also presented.

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