此类新类型的函数是凸性的推广。
用集合的近似凸性研究函数的拟凸性。
Quasiconvex functions are studied by applying nearly convexity of sets.
然后证明了差分周期解的凸性不变性。
Then it is proved that the difference periodic orbit preserves the convexity of periodic orbit.
因此，点态凸性的研究有重要的意义。
Therefore, the research of pointwise properties showed the great significance.
对如何测量角点凸性进行了详细介绍。
在广义凸性条件下，建立了弱对偶性定理。
Weak duality theorem is established under generalized convexity conditions.
一是函数的拟凸性、伪凸性及其次微分的拟单调性、伪单调性；
One is quasi-convexity and pseudo convexity of functions and quasimonotonicity and pseu-domonotonicity of their sub differentials .
对柔性机构拓扑优化模型进行了改进，并对其凸性进行了分析。
The topological optimization model of compliant mechanism has been modified and its convexity has been analyzed.
目前已有三种基本方法一上、下解方法、凸性方法和能量方法。
There are three basic techniques for proofs so far-super and sub solution method, convex method and energy method.
利用集合的稠密性和弱近似凸性，进一步刻画函数的预不变凸性。
We research on describing preinvexity of functions in this paper by means of the density and weakly near convexity in the set.
近年来，凸性在许多应用数学领域的极值问题研究中已越来越重要。
Convexity has been increasingly important in recent years in the study of extremum problems in many areas of applied mathematics.
本文提出一种基于凸性连通分支搜索结合曲线拟合的多椭圆检测算法。
In this paper, a new methodology was proposed based on the connected convex curve searching and ellipse fitting.
函数的凸性与广义凸性在数学规划以及最优化理论中起着非常重要的作用。
Convexity and generalized convexity of functions play an important role in mathematical programming and optimal theory.
而采用KH线性插值推理也存在着难以保证推理结果的凸性和正规性等问题。
It is also difficult to keep convexity and normality using KH linear interpolative reasoning method.
并在广义凸性和广义单调性的条件下，给出了隐向量均衡问题的解的存在性。
In addition, under the generalized convexity and generalized monotonicity, solution existence for implicit vector equilibrium problems is investigated.
将中点局部一致凸性推广到中点局部k一致凸，并且讨论了它们之间的关系。
Midpoint locally uniform convexity is generalized to the midpoint locally K-uniform convexity, and the relation between the two cases is discussed.
对于一阶导数间断的物理量——气膜厚度采用高精度保凸性磨光法进行处理。
Smoothest approximation method, with high precision and capacity of keeping concave and convex feature of original outlines, is used to deal with the derivative discontinuity of gas film thickness.
但许多模糊映射并不具有凸性，所以人们又对模糊映射的凸性进行了各种推广。
However, many fuzzy mappings are not convex. People start to generalize the convexity of fuzzy mapping in different ways.
本文提出了一组CNN新模板，用于恢复数字化灰度图像中扭曲凸物体像的凸性。
This paper presents a set of new CNN templates for recovering convexity of disturbed convex objects in digitized gray scale images.
拓扑线性空间的局部双序凸性，是该空间上连续线性泛函实现双序正分解的基础。
The Local biorder-convexity is a base of the biordering positive decomposition of linear functionals.
在一类适定性条件下，应用对数凸性方法证明了抛物方程终值问题具有平均稳定性。
Applying Logrithmic convex method, an average stability for the inverse parabolic problem with final observation is constructed under suitable correctness condition.
首先在没有凸性结构的局部FC-一致空间内引入了非紧性测度和凝聚集值映象概念。
First, the notions of the measure of noncompactness and condensing set-valued mappings were introduced in locally FCuniform spaces without convexity structure.
用集合的近似凸性研究函数的拟凸性。在较弱假设下，获得了拟凸性的一些等价条件。
Quasiconvex functions are studied by applying nearly convexity of sets. Under weaker assumptions, some equivalent conditions for quasiconvexity are derived.
由于较粗尺度下目标函数呈现较强的凸性及较少的局部极值，很有利于收敛至优化解。
Objective function presents comparatively strong convexity and lesser local extreme values on wide scale which is favour of converging to optimized values.
采用线性矩阵不等式和多凸性处理方法，证明了该问题等价于线性矩阵不等式的可解性问题。
In terms of multiconvexity and linear matrix inequality, this problem is proved to be equivalent to an LMI feasible problem.
第三章提出了一些新的G -可微概念，并研究了算子的凸性与这些新的可微性之间的关系。
In chapter 3, we set some new conceptions of G-derivative, and make a research on the relations among these new derivatives and the convexity of an operator.
利用凸性分析方法，在方程具有边界条件和正初始能量情况下得到整体解不存在的充分条件。
By making use of variational methods, we obtain two positive solutions ofp(x)-Laplace equation, which generlizes the corresponding relusts of Laplace equation.
用集合的近似凸性研究函数的预不变凸性，在较弱的假设下获得了预不变凸性的一些等价条件。
Preconvex functions are studied by applying nearly convexity of sets in this paper. Under weaker assumptions, some equivalent conditions for preconvexity are derived.
研究了函数的一阶右导数与函数凸性的关系，给出了二个定理，把曲线凸性判定定理加以推广。
This paper discusses the relationship between the 1-stage progressive derivative and function convex, and two principles are presented, the curve convex judging principle is finally extended.
本文研究一类广义负系数单叶解析函数，得到了准确的系数估计，偏差定理，凸性半径和星形性半径。
In this paper, we study a generalized class of univalent functions with negative coefficients. Sharp coefficient estimates, distortion theorem and radius of convexity and starlikeness are obtained.
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