关于Szász算子的强逆不等式

In this paper,we obtain the strong converse inequality for Szász operators with K-functional by introducing a new K-functional of the form Kαλ(f,t2) = infg∈C2λ{‖f-g‖0 t2‖g‖2}(0≤λ≤1,0＜α＜2),where ‖·‖0,‖·‖2,C2λ are defined in the paper.As for its applications,we have extended some results before this paper.     

Strong Converse Inequality for the Meyer-K?nig and Zeller-Durrmeyer Operators

In this paper we give a strong converse inequality of type B in terms of unified K-functional Kαλ(f,t2) (0 ≤ λ ≤ 1,0 ＜ α ＜ 2) for the Meyer-K?nig and Zeller-Durrmeyer type operators.     

度量空间中反交换映射的公共不动点

本文讨论了度量空间中映射在反交换条件下的公共不动点的存在性问题,给出了映射对在满足一定条件时公共不动点的存在性与唯一性结论.并指出了文献[5]中的几处错误.     

Critical cases of stability. Converse implicit function theorem for dynamical systems with cosymmetry

Stability criteria of boundary equilibria for dynamical systems in the three critical cases, (n, k)=(3, 0), (2, 1), and (1, 1), are obtained.Translated fromMatematicheskie Zametki, Vol. 63, No. 4, pp. 572–578, April, 1998.The author wishes to thank V. I. Yudovich for useful discussions.This research was supported by the Russian Foundation for Basic Research under grant No. 96-01-01791 and by the International Science Foundation under grant NRQ000.     

Strong converse inequalities for Baskakov operators

We give a strong converse inequality of type B in terms of unified K-functional K_λ^α( f,t²)(0λ1, 0<α<2) for Baskakov operators.     

Z=X+Y概率密度的拉氏变换解法

本文根据拉氏变换的卷积性质 ,给出了某些情形下 ,随机变量 Z=X+Y概率密度的一种简易的拉氏解法     

A Converse Comparison Theorem for <Emphasis Type="Italic">g</Emphasis>-Expectations

With the help of a limit property of solutions of backward stochastic differential equations(BSDEs),this paper establishes a converse comparison theorem for deterministic generators g of BSDEs under the assumption g(t, y, 0) ≡0.     

On approximation of functions by algebraic polynomials in Hölder spaces

We study approximation of functions by algebraic polynomials in the Hölder spaces corresponding to the generalized Jacobi translation and the Ditzian–Totik moduli of smoothness. By using modifications of the classical moduli of smoothness, we give improvements of the direct and inverse theorems of approximation and prove the criteria of the precise order of decrease of the best approximation in these spaces. Moreover, we obtain strong converse inequalities for some methods of approximation of functions. As an example, we consider approximation by the Durrmeyer–Bernstein polynomial operators.     

多铁异质结构中逆磁电耦合效应的研究进展

电场调控磁性能够有效降低功耗,在未来低功耗多功能器件等方面具有巨大的潜在应用前景.铁磁/铁电多铁异质结构是实现电场调控磁性的有效途径,其中室温、磁电耦合效应大的应变媒介磁电耦合是最为活跃的研究领域之一.本文简要介绍在以Pb(Mg_(1/3)Nb_(2/3))_(0.7)Ti_(0.3)O_3为铁电材料的多铁异质结构中通过应变媒介磁电耦合效应对磁性、磁化翻转及磁性隧道结调控的研究进展.首先讨论了多铁异质结构中电场对磁性的调控;之后介绍了电场调控磁化翻转的研究进展及理论上实现的途径;然后简述了电场对磁性隧道结调控的相关结果;最后在此基础上,对多铁异质结构中电场调控磁性及磁性器件进行了总结和展望.     

N(2,2,0)代数中平移变换的象与逆象

作为可约化半群的推广,引入了半群左(右)可约化的概念,讨论了N(2,2,0)代数中三类平移变换的象、逆象的代数结构.