Some geometric inequalities relating to an interior point in triangle

Some geometric inequalities relating to an interior point in triangle

In this short note, by using one of Li and Liu's theorems [K.-H. Li, The solution of CIQ. 39, Commun. Stud. Inequal. 11(1) (2004), p. 162 (in Chinese)], s−R−r method, Cauchy's inequality and the theory of convex function, we solve some geometric inequalities conjectures relating to an inte...

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Bibliographic Details
Published in:International journal of mathematical education in science and technology Vol. 41; no. 5; pp. 677 - 687
Main Authors: Wu, Yu-Dong, Zhang, Zhi-Hua, Liang, Chun-Lei
Format: Journal Article
Language:English
Published: Taylor & Francis Group 01-01-2010
Taylor & Francis, Ltd
Subjects:
Cauchy's inequality
convex function
Geometric Concepts
geometric inequality
Geometry
Mathematical Logic
Mathematics Education
Problem Solving
Theories
triangle
Trigonometry
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Summary:In this short note, by using one of Li and Liu's theorems [K.-H. Li, The solution of CIQ. 39, Commun. Stud. Inequal. 11(1) (2004), p. 162 (in Chinese)], s−R−r method, Cauchy's inequality and the theory of convex function, we solve some geometric inequalities conjectures relating to an interior point in triangle.
ISSN:0020-739X
1464-5211
DOI:10.1080/00207391003605197