A new refinement of the Janous-Gmeiner inequality for a triangle期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

A new refinement of the Janous-Gmeiner inequality for a triangle

Authors:	H.M. Srivastava V. Lokesha

Affiliation:	^a Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada ^b Department of Mathematics, Acharya institute of Technology, Soldevahnalli, Hesaragatta Road, Bangalore 590090, Karnataka, India ^c Department of Mathematics, Zhejiang Xinchang High School, Shaoxing 312500, Zhejiang, People’s Republic of China

Abstract:	In this paper, the authors give a new refinement of the Janous-Gmeiner inequality for a triangle by making use of certain analytical techniques for systems of nonlinear algebraic equations. Some other closely-related geometric inequalities are also considered.

Keywords:	Janous-Gmeiner inequality Best constant Sylvester&rsquo s resultant Discriminant sequence Maple (Version 9.0) System of nonlinear algebraic equations
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