理想上的广义$(\theta,\phi)$-导子的正交性

In this paper,necessary and sufficient conditions concerning the orthogonality and the composition of a couple of generalized （θ,φ）-derivations on a nonzero ideal of a semiprime ring are presented.These results are generalizations of several results of Breˇsar and Vukman,which are related to a theorem of Posner on the product of two derivations on a prime ring.     

Nondifferentiable Multiobjective Programming under Generalized d-ρ-(η,θ)-Type I Univexity

In this paper,on the basis of notions of d-ρ-(η,θ)-invex function,type I function and univex function,we present new classes of generalized d-ρ-(η,θ)-type I univex functions.By using these new concepts,we obtain several sufficient optimality conditions for a feasible solution to be an efficient solution,and derive some Mond-Weir type duality results.     

φ-Derivations on Strongly Double Triangle Subspace Lattice Algebras

Let D = {{0},K,L,M,X } be a strongly double triangle subspace lattice on a non- zero complex reflexive Banach space X ,which satisfies that one of three sums K + L,L + M and M + K is closed.It is shown that local φ-derivations and φ-derivations at zero point on AlgD are generalized φ-derivations.     

随机微分方程高阶分裂步(θ1,θ2,θ3)方法的强收敛性

本文首先提出一类高阶分裂步（θ₁,θ₂,θ₃）方法求解由非交换噪声驱动的非自治随机微分方程.其次在漂移项系数满足多项式增长和单边Lipschitz条件下,证明了当1/2 ≤ θ₂ ≤ 1时该方法是1阶强收敛的.此类方法包含很多经典的方法：如随机θ-Milstein方法,向后分裂步Milstein方法等.最后数值实验验证了所得结论.     

(φ,γ)-凸函数与(φ,γ)-次微分

定义了基于Ben-T al广义代数运算的(,φγ)-凸函数,(φ,γ)-次微分,进而获得了关于(,φγ)-凸函数及(φ,γ)-次微分的一些分析性质.讨论了(φ,γ)-凸函数的等价条件.     

On Generalized (σ,τ)-Derivations

We generalize the notion of (,)-derivation of Nakajima and Bresar. We define the generalized (,)-derivations, generalized Jordan (,)-derivations, and generalized Lie (,)-derivations, We study interrelations between these classes of derivations as well as their homological properties.     

θ(t)-Caldern-Zygmund算子在群上的Hardy空间H~p(G)中的有界性

设Ｇ为局部域Ｋ上的２ｎ＋１维Ｈｅｉｓｅｎｂｅｒｇ群,文献［１］给出了一类Ｈａｒｄｙ空间 Ｈ~ｐ（Ｇ）,（０＜Ｐ≤１）,本文讨论了θ（ｔ）－Ｃａｌｄｅｒｏｎ－Ｚｙｇｍｕｎｄ算子在Ｈ~ｐ（Ｇ）（０＜Ｐ≤１）中的有界性。     

θ(t)-Calderón-Zygmund算子在群上的Hardy空间Hp(G)中的有界性

设G为局部域K上的2n+1维Heisenberg群,文献[1]给出了一类Hardy空间Hp(G),(0相似文献   

L(φ,μ)-平均域及其几何特征

本文首先引入 Ｌ（φ,μ）－平均域,它是已知的 Ｊｏｈｎ－域, Ｌｓ－平均域和 Ｌｓ（μ）－平均域等的推广．然后利用拟双曲度量来刻画Ｌ（φ,μ）－平均域的几何特征．最后证明,对于任何满足Ｌ（φ,μ）－平均域定义中条件的函数φ, Ｊｏｈｎ－ 域是 Ｌ（φ,μ）－平均域．     

带重结点的H_m~T(θ)型求积公式

本文讨论了2π周期函数的正常积分带重结点的具有最大三角精度m-1的HTm(θ)型求积公式;当结点组取定后,得到了求积公式具体的型,并且构造出HTm(θ)型求积公式.     

Orthogonal generalized (σ, τ)-derivations of semiprime rings

This paper abstracts some results of M. Bresar and J. Vukman [1] on the orthogonal derivations of semiprime rings to (σ, τ)-derivations and generalized (σ, τ)-derivations.     

素环上的Jordan(α,α)-导子

证明了2-非挠素环上的Jordan(α,α)-导子是(α,α)-导子.     

半素环上(右)广义自同构的扩张

In this paper, we define the concept of (right) partial generalized automorphisms and discuss the extension problem, and also give a characterization of (right) partial generalized automorphisms of semiprime rings. Finally, we study the centralizing problem of right partial generalized automorphisms.     

非光滑(F,ρ,)θ-d一致不变凸广义分式规划的对偶性

结合F-凸,η-不变凸及d一致不变凸的概念给出了非光滑广义(F,ρ,θ)-d一致不变凸函数;就一类在凸集C上目标函数为Lipschitz连续的带有可微不等式约束的广义分式规划,提出一个对偶,并利用在广义Kuhn-Tucker约束品性或广义Arrow-Hurwicz-Uzawa约束品性的条件下得到的最优性必要条件,证明相应的弱对偶定理、强对偶定理及严格逆对偶定理.     

Generalized orthogonal arrays: Constructions and related graphs

Generalized orthogonal arrays were first defined to provide a combinatorial characterization of (t, m, s)-nets. In this article we describe three new constructions for generalized orthogonal arrays. Two of these constructions are straightforward generalizations of constructions for orthogonal arrays and one employs new techniques. We construct families of generalized orthogonal arrays using orthogonal arrays and provide net parameters obtained from our constructions. In addition, we define a set of graphs associated with a generalized orthogonal array which provide information about the structure of the array. © 1999 John Wiley & Sons, Inc. J Combin Designs 7: 31–39, 1999