共查询到20条相似文献,搜索用时 78 毫秒
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主要研究几何体的Bonnesen型等周不等式.得到了两个关于四面体的Bonnesen型等周不等式;进一步地,给出了关于四面体的等周不等式的一个简单证明. 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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In this article, we investigate some operator-norm inequalities related to some conjectures posed by Hayajneh and Kittaneh that are related to questions of Bourin regarding a special type of inequalities referred to as subadditivity inequalities. While some inequalities are meant to answer these conjectures, other inequalities present reverse-type inequalities for these conjectures. Then, we present some new trace inequalities related to Heinz means inequality and use these inequalities to prove some variants of the aforementioned conjectures. 相似文献
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In this paper, we establish several new Hilbert-type inequalities with a homogeneous kernel, involving arithmetic, geometric, and harmonic mean operators in both integral and discrete case. Such inequalities are derived by virtue of some recent results regarding general Hilbert-type inequalities and some well-known classical inequalities. We also prove that the constant factors appearing in established inequalities are the best possible. As an application, we consider some particular settings and compare our results with previously known from the literature. 相似文献
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《Mathematical Methods in the Applied Sciences》2018,41(12):4737-4753
In the present article, we investigate some new inequalities of Steffensen type on an arbitrary time scale using the diamond‐α dynamic integrals, which are defined as a linear combination of the delta and nabla integrals. The obtained inequalities extend some known dynamic inequalities on time scales and unify and extend some continuous inequalities and their discrete analogues. 相似文献
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《中国科学 数学(英文版)》2017,(10)
We prove some analogs inequalities of the logarithmic Minkowski inequality for general nonsymmetric convex bodies. As applications of one of those inequalities, the p-affine isoperimetric inequality and some other inequalities are obtained. 相似文献
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In this paper, a general form of integral inequalities of Hermite-Hadamard’s type through differentiability for s-convex function in second sense and whose all derivatives are absolutely continuous are established. The generalized integral inequalities contributes some better estimates than some already presented. The inequalities are then applied to numerical integration and some special means. 相似文献
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Xin-Min Zhang 《Proceedings of the American Mathematical Society》1998,126(2):461-470
In this paper, we establish some analytic inequalities for Schur-convex functions that are made of solutions of a second order nonlinear differential equation. We apply these analytic inequalities to obtain some geometric inequalities.
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赵建中 《数学的实践与认识》2005,35(4):171-175
给出了M—矩阵,N0 —矩阵的一些不等式,并证明某些不等式等式成立的充要条件,推广了文献中F0 —矩阵的一个不等式,并给出了Z—矩阵的特征多项式系数的一些不等式. 相似文献
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一类积分不等式的推广 总被引:1,自引:0,他引:1
对一些基本的积分不等式进行了推广,给出了含有n个无关变元的更广泛的非线性积分不等式.利用所得的不等式讨论了某些非线性积分方程解的有界性. 相似文献
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