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。
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。
We also give a new proof of log-convexity and log-concavity of some sequences through the calculations of Hankel determinants.
本文用连分式法证明了Barry提出的几类序列Hankel变换的猜想,同时通过Hankel行列式的计算,给出一些组合序列对数凸性和对数凹性新的证明。
In this paper,the author gives some properties of logarithmatical convex function by using the fundental properties and decision theorem of convex function.
文章类比凸函数的基本性质及判定定理,并利用对数性凸函数的定义,引入判别准则,得出了一些对数性凸函数的相关性质。
Combinatorial Proofs of Log-convexity and Log-concavity of Some Combinatorial Numbers;
一些组合数的对数凸性和对数凹性的组合证明
Logarithmically Convex Method And Adamovic Inequality;
对数凸性法与Adam ovic不等式
A Symmetric Mean about Weakly Logarithmically Convex Function;
一类关于弱对数性凸函数的对称平均
Schur-Convexity of Two Complementary Symmetric Functions
一对互补对称函数的Schur凸性
Investigation of Some Problems on the Geometric Convex Functions;
对函数几何凸性若干问题的理论研究
On E-convex sets,E-convex functions and semi-E-convex functions;
关于E-凸集,E-凸函数和半-E-凸函数性质的研究
Some Inequalities for <L,t>Log-Convex Functions;
关于<L,t>对数性凸函数的几个不等式
E-Convex Sets, E-Convex Functions and E-Convex Programming in Linear Spaces;
序线性空间中E-凸集，E-凸函数，E-凸规划
Numerical Study of Convex Lens Transform Property for Broadband Laser Beam;
凸透镜对宽带激光束变换特性的数值研究
Further research on equivalence among the definitions about convex functions
对凸函数定义之间等价性的进一步研究
Convexity Analysis and Convex-preserving Connection of Parametric Curves and Surfaces;
参数曲线曲面的凸性分析及保凸拼接
Functional Convex Discussed by The Associated Mode of One-sided Derivative with Symmetric Derivative
用单侧导数和对称导数结合的方式研究函数的凸性
Semi-continuity and E-quasiconvexity of Functions on E-convex Set
E-凸集上的函数的半连续性与E-拟凸性
Properties of preinvex and semistrictly preinvex functions and their application
预不变凸、半严格预不变凸函数的性质与应用
Duality theorems of multiobjective programming (VP) and (VD) for ρ-arcwise quasiconvex and pseudoconvex functions
ρ-弧式拟凸及伪凸函数的(VP)和(VD)对偶定理
The Influence of Configuration Parameters on Contact Ratio and Teeth Profile Character of Cam Shock Wave Rolling Movable Teeth Transmission
结构参数对凸轮激波滚动活齿传动重合度及齿形特性的影响
Locally Rotundity of Orlicz-bochner Function Space with the Luxemburg Norm
Luxemburg范数下Orlicz-Bochner函数空间的局部凸性
Some properties of p-convex sets and absolutely p-convex sets in topological linear spaces;
拓扑线形空间中的p-凸集与绝对p-凸集的性质