1) Cauchy type singular integral
Cauchy型主值积分
1.
In this paper, the author first gives a kind quadrature rule Φm*(ωf,x) for Cauchy type singular integral Φ(ωf, x), then proves the sequence{Φm*(ωf,x)}m=2∞ ls uniformly convergent to Φ(ωf,x) on the interval [-1,1], at that time gives its error bounds.
该文首先给出Cauchy型主值积分Φ(ωf,x)的一种求积公式Φm*(ωf,x),然后证明序列 {Φm*(ωf,x)}m=2∞在整个闭区间[-1,1]上是一致收敛到Cauchy型主值积分Φ(ωf,x)的,同时给出它的误差界。
2) Cauchy Principle
Cauchy主值积分
1.
In this paper,we first introduces some notations and some preliminary results,then we give quadrature rules with Cauchy Principle integral on the unit circle for some Chebyshev weight functions,at that time we give their error bounds.
在本文中,我们首先给出一些基本的结果和一些概念,然后给出单位圆上带Cheby shev权的一些Cauchy主值积分的求积公式,最后给出了它们的误差估计。
3) Cauchy principle value of integral
Cauchy积分主值
4) Cauchy type integral
Cauchy型积分
1.
Then the corresponding formal solution of this problem is also presented to be so-called Cauchy type integral,whose density function is an unique solution of a class of periodic Fredholm type equation.
针对复平面周期分布的Lyapounov边界闭曲线,且带有位移函数的Haseman边值问题,给出了可解性理论和解的表示形式:用密度是周期的Fredholm方程解的Cauchy型积分表示。
2.
The Cauchy type integral and Hlder continuity are studied.
证明了M oisil-Theodoresco方程组在R3空间中对应的Cauchy定理,研究了相应的Cauchy型积分及其H lder连续性,获得了它的P lem e lj公式。
3.
Using the Cauchy type integral of bianalytic functions and the singular integral equation method, we have not only establishep an explicit form the general solutions of the Haseman problems for bianalytic functions, but also found the conditions for the solvability of the above problem.
本文利用双解析函数的Cauchy型积分和带位移的奇异积分方程方法,研究并得到了双解析函数的Haseman边值问题的一般解的表示式和可解条件以及线性无关解的个数与指标之间的关系。
5) Cauchy's principal value of singular integral
奇异积分的Cauchy主值
6) Cauchy mean value theorem of integral type
积分型Cauchy中值定理
1.
It is proved that under certain conditions,a mean value ξ in the Cauchy mean value theorem of integral type satisfies lim b→aξ-ab-a=12.
证明了积分型Cauchy中值定理中的中值 ξ ,在一定的条件下 ,满足limb→aξ -ab -a=12 。
2.
This paper discusses the asymptotic properties of intermediate point for Cauchy mean value theorem of integral type,when the two end points of interval tend to a fixed point in the interval.
讨论了当区间的两个端点都趋于其内一定点时,积分型Cauchy中值定理"中间点"ξ的渐近性,推广并改进了文献[1]之中的相应结果。
补充资料：有主
1.谓死后立有神主。 2.旧指女子已有未婚夫。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条