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1)  convex sequence
凸数列
1.
A condition of equivalence for the convex sequence involving majorized vector is extended to the case of the weak majorizotion and some applications of this condition of equivalence in algebra, analysis, geometry of convex body, and probability are proposed.
将涉及控制向量的凸数列的一个等价条件扩展到弱控制的情形 ,并给出此等价条件在代数、分析、凸体几何、概率论等诸多方面的应
2.
A condition of equivalence for the convex sequence is established by means of the theory of majorizotion, moreover a class of inequality for weighted symmetric mean is generalized by the above condition of equivalence.
利用控制不等式理论建立了凸数列的一个等价条件 ,并应用其推广了一类加权对称平均不等
2)  majorizotion
对数凸数列
3)  log|convex sequence
对数凸序列
4)  convex sequence
凸序列
1.
In this paper we prove a class of operator convex sequences inequality by means of the theory of majorization.
利用控制不等式理论证明一类算子凸序列不等式,把凸序列不等式推广到算子。
2.
An inequality for convex sequence is proved by means of the control theory , Moreover the inequality established in is generalized.
利用控制不等式理论证明关于凸序列的一个不等式,推广了文献[8]中的结
3.
By means of the theory of majorization, some inequalities for convex sequences (including generalizations the well-known Nanson s inequality) are simply proved, and some applications are given thereof.
利用控制不等式理论简洁地证明了一类凸序列不等式 (包括著名的 Nanson不等式的几个推广 ) ,并给出若干应用 。
5)  sequentially closed convex sets
列闭凸集
6)  convex system
凸的系列
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