一个含有逆向的Hilbert型积分不等式

应用权系数的方法，给出一个有最佳常数因子的Hilbert积分不等式，同时给出其等价形式及逆向不等式。     

建筑作品内在结构的可解释性

从创作与接受的相互关系和作用考察建筑作品的内在结构，指出建筑作品应具有接受能动性，其结构应是开放和可生长的，建筑师应从积极的态度看待作品中由上述特性产生的可解释性.     

论积分和式的极限

用一般拓扑空间的网收敛理论刻划了Riemann积分与Lebesgue积分的积分和式极限 ,它们都是拓扑空间R中某种网的极限     

浅谈求极限的方法

求极限是高等数学的重要内容．本文的目的是通过范例总结和研究高等数学中的函数极限、数列极限和广义积分的各种常用及一些特殊计算方法．     

积分中值定理“中间点”收敛速度的一个估计

利用函数连续模分别给出了第一积分中值定理和第二积分中值定理的“中间点”收敛速度的一个估计。     

先秦儒家与道家自然观之比较

儒家用伦理的眼光看待自然 ,形成了赋予自然山水以人格的自然观。在儒家看来 ,最高的美就是理想人格。道家以天地自然的和谐相生为一种“大美”的境界 ,导致道家自然山水审美中“以人合天”的自然观。     

关于亚纯p叶函数的新子类

引进和研究亚纯ｐ叶函数的新子类Ｔｎ,ｐ（Ａ,Ｂ）和Ｔ＊ｎ,ｐ（Ａ,Ｂ）,建立了包含关系,讨论了类中函数的积分变换等性质,对类Ｔ＊ｎ,ｐ（Ａ,Ｂ）确定了系数不等式、偏差定理、亚纯凸性半径与卷积性质     

复调和函数的Cauchy积分公式

建立了复调和函数积分,得出了其Ｃａｕｃｈｙ积分定理与Ｃａｕｃｈｙ积分公式,并讨论了单位圆上复调和函数Ｃａｕｃｈｙ积分公式的特征．     

Statistical inference on the drift parameter in fractional Brownian motion with a deterministic drift

In statistical inference on the drift parameter a in the fractional Brownian motion W^H_t with the Hurst parameter H ∈ (0, 1) with a constant drift Y^H_t = at + W^H_t, there is a large number of options how to do it. We may, for example, base this inference on the properties of the standard normal distribution applied to the differences between the observed values of the process at discrete times. Although such methods are very simple, it turns out that more appropriate is to use inverse methods. Such methods can be generalized to non constant drift. For the hypotheses testing about the drift parameter a, it is more proper to standardize the observed process, and to use inverse methods based on the first exit time of the observed process of a pre-specified interval until some given time. These procedures are illustrated, and their times of decision are compared against the direct approach. Other generalizations are possible when the random part is a symmetric stochastic integral of a known, deterministic function with respect to fractional Brownian motion.     

Karhunen–Loeve expansion for the additive detrended Brownian motion

In this article, we obtain the Karhunen–Loeve expansion and Pythagorean type distribution identities for the additive detrended Brownian motion. As applications, the corresponding Laplace transform and small-deviation asymptotic behavior for the L₂ norm are given.