共查询到20条相似文献,搜索用时 0 毫秒
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Sun Mingbao 《Geometriae Dedicata》2001,85(1-3):53-67
In this paper, we establish some inequalities for two n-dimensional simplices in the n-dimensional Euclidean space E
n
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Inequalities for Edge Lengths and Volumes of Two Simplexes 总被引:2,自引:0,他引:2
Leng Gangsong 《Geometriae Dedicata》1997,68(1):43-48
In this paper, a class of geometric inequalities for the edge lengths and volumes of two n-dimensional simplexes are established. As a corollary, a generalization to several dimensions of the Neuberg–Pedoe inequality is given. 相似文献
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Wang Jia 《Geometriae Dedicata》1998,70(1):49-56
We establish an identity for an n-dimensional simplex relating the circumradius and the inradius, and an identity relating its volume and the pedal volume. As applications, we derive some known inequalities for simplices and generalizations of such inequalities. 相似文献
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Notes on Two Geometric Inequalities for a Finite Set of Points 总被引:1,自引:0,他引:1
Yang Shiguo 《Geometriae Dedicata》1999,77(3):287-288
Two geometric inequalities for a finite set of points were established in Geom. Dedicata 62 (1996), 157--160. In this paper, we point out a computational mistake in that paper, and give corrections to two geometric inequalities. 相似文献
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关于Veljan-Korchmaros不等式的改进及应用 总被引:3,自引:0,他引:3
杨世国 《纯粹数学与应用数学》2003,19(4):334-338
推广了Veljan—Korchmaros不等式,并应用它推广了n维Euler不等式. 相似文献
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This article establishes several new geometric inequalities, which refer to the lengthes of the edges of a simplex and interior point, height, lateral area, and the circumradius of another simplex. 相似文献
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Using theory of distance geometry and analytic method, the problem on relations about the volumes of some simplices is studied, and some new inequalities for the volumes of simplices are established. As special cases, an inequality for the volume of the pedal simplex of a simplex and other inequalities for simplices are gotten. 相似文献
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In a Hadamard manifold with sectional curvaturebounded from below by –k
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2, we give sharp upper estimates for the difference circumradius minus inradiusof a compact k
2-convex domain, and we getalso estimates for the quotient (Total d-mean curvature)/Area of a convex domain. 相似文献
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