共查询到20条相似文献,搜索用时 0 毫秒
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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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We establish some inequalities for the inradius, circumradius and distances between an interior point and facets of an n-simplex, and prove a recursion inequality for the radii of the circumscribed spheres of an n-simplex and its facets. 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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Some Inequalities Involving Two Simplexes 总被引:5,自引:0,他引:5
Leng Gangsong 《Geometriae Dedicata》1997,66(1):89-98
We establish some inequalities on the inradius and circumradius of two simplexes, and prove a number of applications thereof. 相似文献
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本文建立联系单形和一动点的几个新颖不等式,并提出几个有待进一步讨论的猜想. 相似文献
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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
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In this paper,we obtain thorem 1 on volum of a n-dimensional simplex and theorem 2 on dihedral angles of a simplex.Besides.We obtain Vasic inequality in E^n and its extension.The results in this paper contain and improve the results in paper[1]、[2]、[3]、[4]. 相似文献
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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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An Inequality for the Pedal Simplex 总被引:5,自引:0,他引:5
Sun Mingbao 《Geometriae Dedicata》2001,85(1-3):45-51
In this paper, we improve an inequality on the volume of the pedal simplex. 相似文献
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应用解析方法和几何不等式理论研究了n维欧氏空间En中涉及Ωn维单形Ω'n与其内接单形Ωn以及Ωn中内点之间的几何不等式问题,建立了涉及单形Ωn及其内接单形Ω'n的外接球半径以及Ωn中内点到各侧面距离之间的一个几何不等式,并给出了它的应用. 相似文献
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应用解析方法和几何不等式理论研究了n维欧氏空间E~n中涉及n维单形Ω_n与其内接单形Ω′_n的几何不等式的问题,建立了涉及单形Ω_n及其内接单形Ω′_n的外接球半径与高线的一类几何不等式,作为其特例得到了著名的n维Euler不等式的一些推广. 相似文献
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利用几何不等式理论与解析方法,研究了n维欧氏空间En中n维单形的内点到各顶点的距离与到各侧面距离之间的关系,获得相关的几个几何不等式,推广了Child不等式. 相似文献
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