1) random triangle series
随机三角级数
1.
The extimation of the continuous modulus for general random triangle series;
一般随机三角级数连续模的估计
2) Random lacunary trigonometric series
随机缺项三角级数
3) Random series
随机级数
1.
In this paper,we study the properties of the random series sum from n=1 to ∞ ±un.
对Rademacher级数sum from n=1 to ∞±un的性质进行了研究,首先将sum from n=1 to ∞±un的相关结果进行了推广,对于更为一般的随机级数sum from n=1 to ∞ξ_nu_n确定了其有限和的上确界与级数之间的具有相互限制的数量关系,然后,通过其数量关系将Rademacher级数的重要性质作了推广,通过研究发现:级数sum from n=1 to ∞ξ_nu_n具有Rademacher级数同样的确界定理。
2.
On the basis of the discussion of the growing of series of Taylor, the necessary and sufficient condition, )0(+?rr, of increasing series can be generalized one by one to random series, making it more universal.
在Taylor级数增长性讨论的基础上,将增长级为)0(+?rr的充要条件,一一推广到随机级数上,使其更具有一般性。
3.
By Hlder inequality, Minkowski inequality and other inequality, We study the covergence of random series and get two theorems of convergence which are generalizations of two theorems of J P Kahane.
运用Ｈｏｌｄｅｒ不等式，Ｍｉｎｋｏｗ ｓｋｉ不等式和其它不等式，研究了随机级数的敛散性，给出了随机级数敛散的两个一般性定理，推广了Ｊ－Ｐ。
4) trigonometric series
三角级数
1.
Application of trigonometric series for rigid wakes analysis of rotor aerodynamics in hover;
悬停状态旋翼固定尾迹分析中三角级数的应用
2.
On the super bound of partial sum of a trigonometric series;
关于一个三角级数的部分和的上界
3.
Exact solution of Burgers equation by trigonometric series and Maple
用三角级数和Maple软件求Burgers方程的精确解
5) trigonometrical series
三角级数
1.
In this poper, we select the fie-cural function w (x,y) and stress function Ψ(x,y), which consists of the trigonometrical series and polynomial expression.
选取由三角级数和多项式组成的挠度函数ｗ（ｘ，ｙ）和应力函数Ψ（ｘ，ｙ），得到相邻边自由另两边任意支承矩形厚板的精确解、它不需要繁琐地叠加。
2.
In these solutions,some trigonometrical series and polynomial expression are selected for ψ(x,y) of this problem.
选择一些三角级数和多项式作为该问题的挠度函数Ｗ（ｘ，ｙ）和应力函数ψ（ｘ，ｙ），从而得到了两相邻边固定另两边任意支承矩形厚板弯曲问题的精确解。
3.
In this paper,the flexuous function w(x,y)and stress function Ψ(x,y)are selected,which consist of the trigonometrical series and polynomial expression,and the linear algebraic equa-tions are obtained solvable for rectangular cantilever thick plates under uniform surface-load.
选取由三角级数和多项式组成的挠度函数 w(x,y)和应力函数ψ(x,y),得到求解在均布荷载作用下,矩形悬臂厚板的线性代数方程组。
6) trigonometric polynomial of random coefficient
随机系数三角多项式
1.
After the concept of mean square continuous module is built and its relevant character is obtained,the approximate order of random function approximated by trigonometric polynomial of random coefficient is researched.
建立了随机函数均方连续模的概念,并得到其有关性质后,研究了四种不同条件下随机函数被随机系数三角多项式逼近的阶之估计。
补充资料：共轭三角级数
共轭三角级数
conjugate trigonometric series
共辘三角级数[阴juga加trig佣翩e示c Series一绷脚-脱““‘成lp呱，o“oMeTp“叼eeK”云P”」! 与几角级数 “门.‘允 J二二—一十)“C()凡n_兀一+一n~5111月丫 2，尸l’‘共辘的三角级数是 厅二艺瓦以)Sn‘卞一“ns，n”I 月飞这两个级数分别是级数 ao吞 管一侣:‘一ll，，)二·的实部和虚部，其中:二了.与函数f(劝的卜oufl(?f级数共扼的三角级数万【月的部分和公式是瓦‘·，二告少‘，‘·‘r一)dt，其中D。(X)是共扼的Di‘山let核(Dirich一et kernel).如果f(x)在〔一二，司上是有界变差函数，则级数万汀1在点x0收敛的必要充分条件是共辘函数(conju乎te funCtion)入x0)存在，这时，f(x0)就是级数万川的和.如果f(x)是卜二，二〕上的可和函数，则级数介〕儿乎处处可用戊次欣s认ro求和法(C，哟及Abd一Poisson求和法求和，并且几乎处处同f(x)的共辘函数一致.如果函数入x)是可和的，则共扼级数孑了l是它的Fourier级数.函数月x)不一定是可和的;在LebesgUe积分的推广，例如A积分(A一integral)和D政s积分(BokS integral)的情况下.共扼级数万汀1总是共扼函数的Fourier级数.[补注】文献[7】是一篇很长很有用的综述.文献!Al〕，[A2】是标准文献.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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