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2008 THE NEW $k-n$ TYPE NEUBERG-PEDOE INEQUALITIES
Xiaoyan Li, Yao Yao
Taiwanese J. Math. 12(5): 1177-1189 (2008). DOI: 10.11650/twjm/1500574256

Abstract

In this paper, a class of geometric inequalities for the volumes of two $n-$simplexes and their $k-$subsimplexes are established. The results are generalizations to several dimensions of the well-known Neuberg-Pedoe inequality of two triangles.

Citation

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Xiaoyan Li. Yao Yao. "THE NEW $k-n$ TYPE NEUBERG-PEDOE INEQUALITIES." Taiwanese J. Math. 12 (5) 1177 - 1189, 2008. https://doi.org/10.11650/twjm/1500574256

Information

Published: 2008
First available in Project Euclid: 20 July 2017

zbMATH: 1165.51010
MathSciNet: MR2431888
Digital Object Identifier: 10.11650/twjm/1500574256

Subjects:
Primary: 51K05 , 51M16 , 52A40

Keywords: $k-$subsimplex , $n-$simplex , Neuberg-Pedoe inequality , Volume

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 5 • 2008
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