Weighted inequalities and applications to best local approximation in Luxemburg norm

In this paper we establish a result about uniformly equivalent norms and the convergence of best approximant pairs on the unitary ball for a family of weighted Luxemburg norms with normalized weight functions depending on ε, when ε→ 0. It is introduced a general concept of Pade approximant and we study its relation with the best local quasi-rational approximant. We characterize the limit of the error for polynomial approximation. We also obtain a new condition over a weight function in order to obtain inequalities in Lp norm, which play an important role in problems of weighted best local Lp approximation in several variables.     

高分辨显微镜纳米云纹方法的发展与应用

介绍了近年来发展的纳米云纹法及其新的应用。这些方法是基于原子力显微镜、扫描隧道显微镜和透射电子显微镜的原理提出来的。纳米云纹法能够对物体的微/纳观变形提供定量的分析。详述了这些方法的测量原理和实验技术,并进行了新的应用研究。实验结果论证了这些方法的可行性,并证实了这些方法具有纳米级的位移测量灵敏度。     

指数函数的二次Padé逼近的构造

本文通过e- x的Padé逼近构造e- x的一般二次Padé逼近.     

High Order Padé Schemes for Nonlinear Wave Propagation Problems

and spectral method is the most effective method, which has a spectral-like resolution and good stability nature. In particular, we propose an unconditional stable implicit     

三角域上带两个形状参数的Bézier曲面的扩展

给出了三角域上带双参数λ1,λ2的类三次Bernstein基函数,它是三角域上三次Bernstein基函数的扩展.分析了该组基的性质并定义了三角域上带有两个形状参数λ1,λ2的类三次Bernstein-Bézier(B-B)参数曲面.该基函数及参数曲面分别具有与三次Bernstein基函数及三次B-B参数曲面类似的性质.当λ1,λ2取特殊的值时,可分别得到三次Bernstein基函数及三次B-B参数曲面以及参考文献中所定义的类三次Bernstein基函数及类三次B-B参数曲面.由实例可知,通过改变形状参数的取值,可以调整曲面的形状.     

伪二元函数的Hermite插值

将一元函数的Hermite插值方法与伪二元函数结合,得到了伪二元函数的Hermite插值函数,并对插值函数进行了误差分析,最后给出了一个实例.     

NORM SUMMABILITY OF N(O)RLUND LOGARITHMIC MEANS ON UNBOUNDED VILENKIN GROUPS

The (N(o)rlund)logarithmic means of the Fburier series is:tnf=1/ln∑n-1k=1Skf/n-k,where ln=∑n-1k=11/k.In general,the Fejér(C,1)means have better propeaies than the logarithmic ones.We compare them and show that in the case of some unbounded Vilenkin systems the situation changes.     

关于记录值序列部分和的渐近正态性

证明了 Burr分布和 Frechét分布的记录值序列的部分和是渐进对数正态的 ,从而解决了文[2 ]中的一个悬而未决的问题     

COMPUTATION FORMULAS OF GENERALIZED INVERSE PADE APPROXIMANTS USING FOR SOLUTION OF INTEGRAL EQUATIONS

For the generalized inverse function-valued Padé approximants, its mtact computation formulas are given. The explicit determinantal formulas for the denominator scalar polynomials and the numerator function-valued polynomials are first established. A useful existence condition is given by means of determinant form.