Jacobi elliptic functions and change of variable in a convolution

We solve the functional equation

On the error of compound quadrature formulas forr-convex functions

LetC _m be a compound quadrature formula, i.e.C _m is obtained by dividing the interval of integration [a, b] intom subintervals of equal length, and applying the same quadrature formulaQ _n to every subinterval. LetR _m be the corresponding error functional. Iff ^(r) > 0 impliesR _m [f] > 0 (orR _m [f] < 0),=" then=" we=" say=">C _m is positive definite (or negative definite, respectively) of orderr. This is the case for most of the well-known quadrature formulas. The assumption thatf ^(r) > 0 may be weakened to the requirement that all divided differences of orderr off are non-negative. Thenf is calledr-convex. Now letC _m be positive definite or negative definite of orderr, and letf be continuous andr-convex. We prove the following direct and inverse theorems for the errorR _m [f], where , denotes the modulus of continuity of orderr:

Finding numerical solution of linear partial differential equations of first order with real coefficients

Applying Bittner's operational calculus we present a method to give approximate solutions of linear partial differential equations of first order

Large deviations for martingales with some applications

Let(X _i ) be a martingale difference sequence. LetY be a standard normal random variable. We investigate the rate of uniform convergence

On Lipschitz property of solutions of functional equations

In this work it is proved that under certain conditions the continuous vector-valued solutionsf of the functional equation

春秋刘国故城考

刘国是春秋时期东周王畿内的重要封国之一。笔者就刘国故城遗址、地望及其兴衰进行了考证     

高柔土建结构振动主动控制的研究进展

阐述了高耸柔性结构振动主动控制的必要性、基本概念及其关键技术,综述了其研究现状及存在的问题,并指出高耸柔性结构机敏化／智能化是确保结构安全性与耐久性的重要途径。     

全国高研期刊论文数据库及其管理信息系统的研制

简要介绍了国家“八五”重点教育科研课题“建立中国教育文献数据库”的子课题“建立全国高教研究期刊及论文数据库”中对数据库及其管理系统软件的设计思想及其实现技术。     

浅论权利质权的设定

简要介绍了权利质权的概念及特点，阐明了权利质权的设定因其标的物的不同而不同。债权质权、股权质权、知识产权和其他权利质权的设定除受权利质权设定一般原则的约束外，还受与其标的相适应的个别规则的约束。