Some Geometric Inequalities on the Radii of Inscrib ed Sphere of a Simplex and Its Subsimplex

Some Geometric Inequalities on the Radii of Inscrib ed Sphere of a Simplex and Its Subsimplex

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摘要 In this paper, we obtain some geometric inequalities on the radii of inscribed sphere of a simplex and its subsimplex, as particular case of this paper, we obtain some main results of [1]. In this paper, we obtain some geometric inequalities on the radii of inscribed sphere of a simplex and its subsimplex, as particular case of this paper, we obtain some main results of [1].

作者 ZHANG Han-fang

机构地区 School of Mathematics Science

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2014年第2期215-220,共6页 数学季刊（英文版）

基金 Supported by the First Class Key Course of Mathematics of Jiangsu Province(SXKYA1010)

关键词 Euclidean space SIMPLEX geometric inequality Euclidean space simplex geometric inequality

分类号 O184 [理学—基础数学]

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1LENG Gang-song, TANG Li-hua. Some inequalities on the inradii of a simplex and of its faces[J]. Geometriae Dedicata, 1996, 61: 43-49.
2BECKENBACH E F, BELLMAN R. inequalities[M]. Germany: Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1983, 11.
3MITRINOVIC D S. Analytic Inequalities[M]. Germany: Springer-Verlag, 1970.
4BULLEN P S. A Dictionary of Inequalities[M]. England: University of British Columbia, 1998, 192.
5KLAMKIN M S. Inequality fo a simplex[J]. SLAM Rev, 1985, 27(4): 576.
6ZHANG Han-fang. Further improvement of Klamkin inequality[J]. Chinese Quarterly Journal Inequality 2001, 16(3): 55-59.

1杨世国,王文.Some Geometric Inequalities for the Radii of Escribed Hyperspheres of a Simplex[J].Chinese Quarterly Journal of Mathematics,2015,30(1):137-143.
2WEN Jia-jin,KE Rui,LUE Tao.A Class of the Geometric Inequalities Involving k-Brocard Distance[J].Chinese Quarterly Journal of Mathematics,2006,21(2):210-219. 被引量：5
3Wang Wen,Yang Shi-guo,Rong Xiao-chun.A Class of Schur Convex Functions and Several Geometric Inequalities[J].Communications in Mathematical Research,2015,31(3):199-210.
4谢纳庆,许洪伟.GEOMETRIC INEQUALITIES FOR CERTAIN SUBMANIFOLDS IN A PINCHED RIEMANNIAN MANIFOLD[J].Acta Mathematica Scientia,2007,27(3):611-618. 被引量：1

Chinese Quarterly Journal of Mathematics

2014年第2期

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Some Geometric Inequalities on the Radii of Inscrib ed Sphere of a Simplex and Its Subsimplex

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