多线性分数次积分迭代型交换子的加权不等式

研究了多线性分数次积分算子的迭代型交换子,给出了双权强型不等式的充分条件,即Fefferman -Phong型条件.对此迭代型交换子,还给出了Fefferman-Stein型加权不等式和Coifman型加权不等式.     

一类狄氏型变换及其联系的马氏过程

本文研究一类狄氏型变换.我们给出狄氏型变换后的二次型是拟正则狄氏型的充分条件,分别讨论关于二阶微分算子和伪微分算子所对应的狄氏型的狄氏型变换,得到变换前后拟正则狄氏型对应的马氏过程间的关系.     

基于两种模型的整车物流运输计划问题研究

运用2014年全国研究生数学建模竞赛E题的数据,针对乘用车整车物流运输计划问题的第三问展开研究.首先建立整数规划模型,得到要运输156辆Ⅰ型、102辆Ⅱ型和39辆Ⅲ型乘用车的1-1型和1-2型轿运车的最优数量分别为25和5.其次建立逐步转化模型,假设297辆乘用车全为Ⅱ型乘用车,使Ⅲ型乘用车数量满足要求,然后仅考虑Ⅰ型和Ⅱ型乘用车,使Ⅰ型和Ⅱ型乘用车数量满足要求,得到的结果与整数规划模型结果相一致.最后给出逐步转化模型的通用算法和程序.     

基于BEKK方差模型的干散货航运市场间波动溢出效应分析

针对灵便型、巴拿马型和海岬型干散货航运市场间的互动关系问题,选取波罗的海干散货运价指数,应用多元广义自回归条件异方差中的BEKK方差分析模型,研究了干散货航运市场间的波动溢出效应.发现海岬型干散货航运市场对灵便型和巴拿马型干散货航运市场存在波动溢出效应,而灵便型和巴拿马型干散货航运市场对海岬型干散货航运市场不存在波动溢出效应,灵便型干散货航运市场和巴拿马型干散货航运市场之间存在双向波动溢出效应,Wald检验验证了上述结论的正确性.从而可为航运经营者规避干散货航运市场波动风险提供决策参考.     

双线性型图与交错型图不是完美图

本文证明了双线性型图与交错型图都不是完美图,从而解决了双线性型图与交错型图的完美图判别问题.     

$I$-有界型线性空间的构造

本文引进了$I$-有界型线性空间的概念, 并给出两个具体的$I$-有界型线性空间. 进而, 研究了两种构造$I$-有界型线性空间方法:一种是利用普通的有界型线性空间诱导出一个新的$I$-有界型线性空间; 另一种是借助$I$-有界型线性映射生成一个新的$I$-有界型线性空间.     

变革型领导、知识共享与研发团队创造力:团队成员异质性的倒U型调节作用

本文基于变革型领导理论、知识共享理论、团队创造力理论及团队异质性理论,研究变革型领导对高新技术企业研发团队创造力的影响,及知识共享在这一作用过程中的中介效应,并提出带倒U型调节的混合模型,探索团队成员异质性的倒U型调节效应。通过对162家高新技术企业的实证研究,得出以下主要结论:变革型领导对研发团队创造力有显著正向影响;知识共享在变革型领导与研发团队创造力之间起部分中介作用;团队成员异质性在变革型领导与知识共享之间起倒U型调节作用,在知识共享与研发团队创造力之间起倒U型调节作用。     

两类离散哈密顿系统极限点型的判定

利用算子的谱理论及经典的不等式,讨论两类离散哈密顿系统,得出半退化型系统为强极限点型以及Dirac型系统为极限点型的一些判别准则．     

一类Weyi型单李超代数

本文研究了单李超代数的构造理论.借助于张量积方法,定义了一类Weyl型结合超代数和一类Weyl型李超代数,并且证明了这类Weyl型结合超代数和Weyl型李超代数是单的充分必要条件.     

有限变形极性弹性介质的各型动力学方程组

本文从Dluzewski提出的以欧拉角为角坐标的建议和推导出的Cauchs型动力学方程组出发，又引进若干有关变形几何学和动力学的新定义并推导出有限变形极性弹性介质的Boussinesq型、Kirchhoff型、Signorini型和HoBo型动力学方程组．     

RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP ——In memory of Professor Sun Yongsheng

As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years （2001-2005）. The main topics are： convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths.     

A unified approach to certain problems of best local approximation

In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms.     

Boundedness for commutators of multipliers on Hardy type spaces

In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p（R^n） into the Lebesgue space L^p with p 〈 1.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

Towards Excellence in Science Chinese Academy of Sciences

<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by     

Bounds for the zeros of polynomials

Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem.     

Boundedness of commutators related to Marcinkiewicz integrals on hardy type spaces

In this paper, the authors study the boundedness of the operator [μΩ, b], the commutator generated by a function b ∈ Lipβ(Rn)(0 ＜β≤ 1) and the Marcinkiewicz integrals μΩ, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈ Lipα(Sn-1)(0 ＜α≤ 1).     

Jacobi polynomials used to invert the laplace transform

Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find an approximation to f(t) by the use of the classical Jacobi polynomials. The main contribution of our work is the development of a new and very effective method to determine the coefficients in the finite series expansion that approximation f(t) in terms of Jacobi polynomials. Some numerical examples are illustrated.     

Generalization of the interaction between Haar approximation and polynomial operators to higher order methods

In applications it is useful to compute the local average empirical statistics on u. A very simple relation exists when of a function f（u） of an input u from the local averages are given by a Haar approximation. The question is to know if it holds for higher order approximation methods. To do so, it is necessary to use approximate product operators defined over linear approximation spaces. These products are characterized by a Strang and Fix like condition. An explicit construction of these product operators is exhibited for piecewise polynomial functions, using Hermite interpolation. The averaging relation which holds for the Haar approximation is then recovered when the product is defined by a two point Hermite interpolation.