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The main research aspects are as following. 1. The zero-order differential operator is constructed, based on the inside interpolation collocation method.

一、在内延拓配点的基础之上,构造了0阶导算子去对函数进行相应的级数展开和插值,证明了它对边缘效应和Gibbs现象的抑制作用。

In this paper, we study the convergences and the growth of bi-random Dirichlet series by the strong law of large numbers for independent and non-equally distributed random variables, and obtain some new result.

利用独立不同分布的随机变量序列的强大数定律研究了双随机狄里克莱级数的收敛性和增长性,得到了一些新的结果。

In this paper,fractal interpolation function is expressed as a wavelet series,and its mother function is defined by the translation of iterated function system.

把分形插值函数表示成小波类型级数的形式,其"母函数"是由迭代函数系的位移函数决定,并估计了它的余项和误差。

Furthermore, the problem of coupled piezothermoelastic response of a piezoelectric cylinder of crystal class 6mm is investigated. Analytical solutions for this problem are successfully obtained by using Bessel-Fourier series expansion and Laplace transform. These solutions are helpful for study of the influence of coupling on the distribution of stresses, displacements, electric potential and other quantities as well as the role of inertia term.

研究了热电材料圆柱的瞬态压电热弹性响应问题,应用Bessel-Fourier级数展开和拉氏变换方法成功地求得了该问题的解析解,此解有助于研究瞬态响应问题中耦合效应对应力、位移和电势等物理量分布的影响以及惯性项的作用等问题。

The Mie scattering theory is used to measure the particle size by light scattering.

Mie散射级数的计算速度和精度对颗粒测量结果有着重要的影响。

By the Utev S.and Peligrad M.inequality of-mixing random variable sequence,we obtain the Hájeck-Rènyi inequality and three series theorem and Chung′s strong law of large numbers for-mixing random variable sequence,which extend and improve the corresponding results of Gan shixin and Wu Qunying,these resuls are consistent with that for independent random variable sequence.

不等式,得到了-混合随机变量序列的Hájeck-Rènyi不等式、三级数定理和Chung型强大数律,改进了甘师信与吴群英等人的结论,达到了与独立时一致的结果。

In this paper we investigate the researching state, the developing situation and the prospect for the summability , the strong summability and their relevant approximating oder , strong approximating oder of Cesdro mean - an important linear summation process of the Fourier - Laplace series of functions on sphere.

本文研究了球面上的函数用其Fourier—Laplace级数的一种重要的线性求和法-Cesaro平均来求和与强求和及其相应的逼近与强逼近的阶的研究状况、发展态势和前景展望等。

And many kinds of ways that any summable functions expande to FOURIER progression in symmetrical and dissymmetrical area that was defined , and

以及定义在对称和非对称区域上的任意可积函数展开成FOURIER级数的各种方法,并以典型算例说明其在数学中的应用。

By using Taylor series approximation and convex polytope technique, exponential uncertain discrete-time switched linear system is transformed into an equivalent switched polytopic model with an additive norm bounded uncertainty.

利用泰勒级数逼近和凸多面体技术,将上述系统转化为等价的具有模有界的多项式不确定模型。

All of those coefficients in the series can be uniquely determined in a simple and transparent way.

在该级数中的所有系数都能以一种简单的和透明的方式被唯一确定出来。

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