1) majorizotion
对数凸数列
2) log|convex sequence
对数凸序列
3) 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
4) logarithmical convexity
对数凸性
1.
The ordinary convexity,geometrical convexity,logarithmical convexity and the exponential convexity are mentioned in the first two sections;the ideal convexity,integral convexity and the β-convextiy are presented in the central three sections;for the more generalized convexties are briefly introduced in the last section.
本文第一节简述通常凸性概念及其在不等式理论方面的几个简单应用,第二节简介几何凸性、对数凸性、指数凸性及其与通常凸性之间的相互关系;第三节介绍集合与函数的理想凸性;第四节简介由笔者首创的积分凸性及其进展。
5) Log-concave
对数凸
1.
A kind of Bayes Dynamic Models with Log-concave Density;
一类对数凸密度下的Bayes动态模型及其处理
6) logarithmic convexity
对数凸性
1.
If the class of admissible solutions is suitably restricted,an explicit inequlity depending solely on data will be derived by logarithmic convexity method.
当对方程的解进行适当限制后,可以利用对数凸性的方法导出仅依赖于初始数据的连续依赖性的不等式,推出它的H lder稳定性,从而得到问题解的连续依赖性。
补充资料：对数凸性
对数凸性
convex! t>.logarithmic
对数凸性(伽ve劝ty，l呢arithmic;.b.叩目阅‘.‘JJa.叫.M“-，恻翻〕 定义在区间上非负函数了的下述性质:若对j一区间中任意两点.、.与x，以及满足p十pZ二!的丁r意数P)O，P:>O，不等式 加!x，+p之x之)嘱、尸‘(x，)尸2(一、:)成立，则称.厂为对攀0妙门卿rithmlolls onVe、)瑕如一个函数是对数凸的，那么它或者恒等于0或者是严格正的且Inf为凸函数(实变量的)(eonVex几，netion(of a real variable)).几』飞Ky叩，l，x爬B撰卜斯宙译
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参考词条