Durrmeyer－Bernstein多项式的导数与函数的光滑性

本文研究Ｄｕｒｒｍｅｙｅｒ－Ｂｅｒｎｓｔｅｉｎ多项式Ｄ＿ｎ（ｆ；ｘ）的导数与函数ｆ的光滑性之间的关系，即其中ｆ∈Ｃ［０，１］，０＜ａ≤１，０＜β≤２，Ｍ＿１，Ｍ＿２，Ｍ＿３，Ｍ＿４为正常数．     

K泛函与光滑模(Ⅱ)

文[1]中定义了新的K泛函,并研究了当α≥1时它与光滑模的关系,该文将继续研究0≤α<1时,文[1]中的定理依旧成立.     

Orlicz空间的光滑点

本文给出Orlicz空间关于Orlicz范数光滑点(即范数G可微点)的判别方法,并由此直接导出空间光滑的充分必要条件(关于Luxemburg范数的上述问题,作者将另文讨论)。     

广义Baskakov算子的导数与函数的光滑性

本文研究了广义 Baskakov算子的导数与函数的光滑性之间的等价关系,即当且仅当ω_1(f,h)≤M_2h~β,其中0<β≤1当且仅当ω_2(f,h)≤M_4h~β其中0<β≤2.     

浅谈影响沥青混凝土路面平整度的因素

路面的平整度是高速公路路面的主要使用性能之一，优良的平整度能保证车辆高速、舒适、安全地行驶，并对路面的养护费用和使用寿命有显著影响。本文就高速公路路面平整度降低产生的原因进行了详细分析，并对提高路面平整度提出了相应的几点看法。     

Comparison of CSC method and the B-net method for deducing smoothness condition

The first author of this paper established an approach to study the multivariate spline over arbitrary partition, and presented the so-called conformality method of smoothing cofactor (the CSC method). Farin introduced the B-net method which is suitable for studying the multivariate spline over simplex partitions. This paper indicates that the smoothness conditions obtained in terms of the B-net method can be derived by the CSC method for the spline spaces over simplex partitions, and the CSC method is more capable in some sense than the B-net method in studying the multivariate spline.     

Schedule for Garment Assembly Line Based on Genetic Algorithm

A new way to solve the scheduling problem of garment assembly line based on genetic algorithm was proposed. The chromosome was decoded using task precedence relation and after the operation of reproduction, crossover and mutation, the global optimal result can be obtained. Fitness function was represented by smoothness Index ( SI). The simulation shows that the method proposed in this paper is better than the conventional way and the optimized solution can be got in this way.     

一类修正的多元和型积分算子的导数与函数光滑性间的关系

从一组递推条件出发，确定出一个含参变量的函数列／λｎｋ（β）（ｘ）／，以它为核心函数构造出一种三无和式积分算子，并将其修正为保线性算子，从而成功 Ｄｉｔｚｉａｎ对一元Ｂｅｒｎｓｔｅｉｎ算子数与函数光滑 有关讨论推至这种新的二元逼近算子。     

Zygmund定理的一点注记

复平面上单连通区域D的边界Γ为光滑的Jordan闭曲线,我们得到了当Γ满足1+ε,(0<ε<1)次光滑条件时的Zygmund定理。     

参数样条曲面光顺所拟合方程的求解

在利用参数曲面光顺拟合型值点过程中,反求样条曲面的控制顶点需要解一个复杂的线性方程,为了分析解的存在性及编程并扩展算法,本文利用矩阵的直积形式给出方程的显式解。