多复变数Bergman空间中的Hardy—Littlewood定理

在C^n中有界对称域上的Bergman空间中建立了Hardy-Littlewood定理，并用更一般的分数次导数Dβf(β≥0）替代了单复变中的通常导数f′。最后还将这一结果推广到更一般的解析函数空间中。     

线性时滞动力学问题的精细积分解法

具有时滞的动力系统广泛存在于各工程领域.文中给出了一种新的解决时滞系统动力学的方法———精细积分法,把时滞项看作激励项进行处理,通过对时滞项积分上下限的讨论,采用了线性插值和Romberg积分法对其进行处理.同其它一些方法相比,用精细积分法解决时滞问题具有过程简单、结果精确的优点.     

Green核积分方程迭代配置解的误差展开

本文讨论了Ｇｒｅｅｎ核积分方程的迭代配置方法，得到了迭代配置解的一个多项误差展开式。     

积分中值定理“中间点”的分析性质

讨论了积分中值定理中间点的单调性、连续性、可导性,给出了一组充分条件,并证明了三个相关定理．进一步完善了积分中值定理“中间点”的分析性质．     

关于积分中值定理"中间点"的渐近性

给出了并证明了减弱条件的积分中值定理"中间点"的渐近性.     

The generalized inverse of singular integral operators on an open arc and its applications

After choosing weight functions suitably, we define a Banach spaceH _ω ^μ (L) and discuss the generalized inverse of singular integral operators on an open arc. Using the generalized inverse, we obtain the solutions for the following singular integral equation

Integral computation relating to rational curves based on approximate degree reduction

A new algorithm is presented for computing the volume of revolution, moment of area and centroid etc. , which are related to the integration of rational curves. In this algorithm rational curve with high degree is firstly approximated by those with lower degree through endpoint interpolation. And finally the closed form integration solution is derived for quadratic rational curve. The diminishing rate of the minimum norm of the perturbation vector needed by degree reduction is 0(2" ") when the interval is subdivided at the midpoint. Combining the subdivision with the degree reduction, we can obtain a faster convergence of integration approximation. A series of integral error bound functions which are fairly simple to compute are derived. The examples given in this paper show that this algorithm is a simple and time-saving method in computing with small tolerance.     

Boundedness for commutators of fractional Hardy operators on Herz spaces

Some boundedness results are established for commutators generated by classical fractional Hardy operators and one-sided CMO functions on the homogeneous Herz spaces, which extends some known results.     

反常积分与无穷级数的对数审敛法

利用比较判别法，给出了无穷积分和瑕积分敛散性的对数判别法；对比无穷积分和无穷级数，同时给出了无穷级数的对数审敛法．     

模糊分析方法在期货交易风险分析中的应用

文章运用模糊数学中贴近度和模糊积分的方法，首先将期货交易风险分为5个一级风险和27个二级子风险，然后给出各级标准风险量化值，再计算各评估对象与各级标准风险量化值的贴近度，从而得出各评估对象所属的级别。然后对各评估对象所属的级别的标准风险量化值进行模糊积分。通过比较各评估对象的最终综合分析风险值，做出风险排序。文章的最后对此种风险评价方法做了简要评述。