L不可分解极小L矩阵

本文利用向量的扩充概念，给出了一个符号模式L不可分解极小L矩阵的若干必要条件和充分条件及一种构造方法，进而得到了这类矩阵的一个组合刻画，同时对这类知阵中非零元个数的最大值进行了研究。     

О сходимости в метрике L четных тригонометрических интерполяционных полиномов по равноотстояшим уэлам

Even, 2π-periodic, continuous for all x ≠ 2πn, n = 0, 1, …, functions, represented by Fourier series are considered. The question of convergence in the metric L of the trigonometric interpolation cosine polinomials of such functions with convex, quasiconvex, monotone and quasimonotone Fourier coefficients is investigated.     

ОБ ЁкВИВАлЕНтНых НОР МИРОВкАх пОДпРОстРА НстВL 2

Denote byH(Ω) the subspace of functionsp fromL ₂(Ω) for which \(\mathop \smallint \limits_\Omega p dx = 0\) , and define the norm inH(Ω) as follows It is proved that this norm is equivalent to the norm ofL ₂(Ω) assuming that the boundary ofΩ is piecewise Lipschitzian. As a consequence it is derived that for linear elasticity problems the stresses are uniformly bounded inL ₂ with respect to the Poisson constant.     

Lückenumkehrsätze und Lückenperfektheit

Ohne Zusammenfassung     

Базисы из экспонент в пространствахL p

Let the rootsλ _n of an entire functionL(z) be separated and lie in some horizontal strip ¦Im z¦ ≦h, and suppose that $$0< c \leqq |L(z)|(1 + |z|)^{ - b} \exp ( - a|\operatorname{Im} z|) \leqq C< \infty$$ for ¦Imz¦≧H>h. If 1<p<2 and - 1/pq (1/q+1/p=1), then the system {exp (iλ _n x)} _n=0 ^∞ constitutes a basis нn the spaceL ^p (-a,a). In the caseb=1/q orb=?1/p the theorem fails, Equivalence of the following two statements is also proved:

1. {exp (iλ _n x)} _n=0 ^∞ is an extendable convergence system inL ^p from the interval (-a, a).
2. {exp (iλ _n x)} _n=0 ^∞ is a continuable basis inL ^p (-a,a).

     

L—fuzzy Ring and L—fuzzy Module

Ｌ－ｆｕｚｚｙＲｉｎｇａｎｄＬ－ｆｕｚｚｙＭｏｄｕｌｅＬ－ｆｕｚｚｙＲｉｎｇａｎｄＬ－ｆｕｚｚｙＭｏｄｕｌｅ￥ＳｕｎＲｏｎｇｇｕａｎｇＪｉａｎｇＢａｏｑｉｎｇ（ＨｕｍａｎＵｎｉｖｅｒｓｉｔｙ，Ｋａｉｆｅｎｇ，４７５００１）ＲｅｎＸｕｅｊｕｎ（Ｍｉｎｑ...     

Об отделимости множе ств гиперплоскостью вL p

LetA and be two arbitrary sets in the real spaceL _p, 1p<. Sufficient conditions are obtained for their strict separability by a hyperplane, in terms of the distance between the setsd(A,B) _p=inf{x-y_p,xA,yB} and their diametersd(A) _p, d(B)_p, whered(A) _p=sup{x-y_p; x,yA}. In particular, it is proved that if in an infinite-demensional spaceL _p we haved ^r(A,B)_p>2^–r+1(d^r(A)_p+d^r(B)_p), r=min{p, p(p–1)^–1}, then there is a hyperplane which separatesA andB. On the other hand, the conditiond ^r(A,B)_p=2^–r+1(d^r(A)_p+d^r(B)_p) does not guarantee strict separability. Earlier these results where obtained by V. L. Dol'nikov for the case of Euclidean spaces.     

L—构造

Fuzzy 拓扑学把经典拓扑学作为它的特殊情况。但从经典拓扑学的观点来看,Fuzzy拓扑是对一个在 X 上定义,在〔0.1〕上取值(或某个格上取值)的函数空间,给与适当的拓扑结构,并研究它的拓扑性质。因此 Fuzzy 拓扑也可看成是经典拓扑的具体化。对于如此一个比较具体的对象,如何从实际出发构造它的拓扑,并研究它的性质,这在文献〔1〕     

О сходимости переста вленных тригонометр ических рядов Фурье вL 1

The existence of a function is proved which is integrable and belongs to the class L (ln⁺ L) ^e together with its conjugate, and is such that the trigonometric Fourier series of each of these two functions diverges in theL ₁-norm for every order of the terms.     

广义L模糊Quantale

引入了一类广义的L模糊Quantale,即(∈,∈∨q)-L模糊Quantale的定义,研究了其性质,利用它对经典子Quantale进行了等价刻画,证明了它的其中一种特殊情形就是L模糊Quantale。     

关于L内射覆盖

We use the class of L-injective modules to define L-injective covers, and provide the characterizations of L-injective covers by the properties of kernels of homomorphisms. We prove that the right L-noetherian right L-hereditary ring is just such that every right R-module has an L-injective cover which is monic. We also use kernels of homomorphisms to investigate L-simple L-injective covers and give some constructions of L-simple L-injective covers.     

Lévy-frailty copulas

A parametric family of n-dimensional extreme-value copulas of Marshall–Olkin type is introduced. Members of this class arise as survival copulas in Lévy-frailty models. The underlying probabilistic construction introduces dependence to initially independent exponential random variables by means of first-passage times of a Lévy subordinator. Jumps of the subordinator correspond to a singular component of the copula. Additionally, a characterization of completely monotone sequences via the introduced family of copulas is derived. An alternative characterization is given by Hausdorff’s moment problem in terms of random variables with compact support. The resulting correspondence between random variables, Lévy subordinators, and copulas is studied and illustrated with several examples. Finally, it is used to provide a general methodology for sampling the copula in many cases. The new class is shown to share some properties with Archimedean copulas regarding construction and analytical form. Finally, the parametric form allows us to compute different measures of dependence and the Pickands representation.     

L精确置换群 *

解决了关于L精确群的Bannai和Ito问题 ,并用于确定 {l,l+ 1 ,l+ 3}精确群和 {l,l+ 2 ,l+ 3}精确群 .     

L—模糊关系

Ｌ—模糊集与模糊集相比，在值域上使用的是更为一般的代数系统，本文以Ｌ—集合套为工具，对Ｌ—模糊映射，Ｌ—模糊变换，Ｌ—模糊关系以及它们之间的关系作了详尽的研究，得到了一些有意义的结果，这些结论可望得到广泛的应用。     

L形覆盖问题

L 形覆盖问题是重要的组合数学问题.本文给出了3-L 形覆盖、4-L 形覆盖存在的充要条件,解决了这两种 L 形覆盖的问题.     

L ∞ Algebra Representations

It is shown that the direct sum of an L algebra and a module over it has a natural L algebra structure.     

两指标Lévy过程的Lévy Markov性

关于两指标过程的Lévy Markov性,[2]证明了:对于广义Brownian Sheet和广义OUP_2,对适当的DR_+,有: 那里充分利用了过程的轨道连续性及正态系的一个性质:独立性等价于不相关性,[2]的这个结果使[1]中结果 (对一般的两指标Markov过程成立)对此特殊过程得到改进,本文的结果是:对于随机连续的独立增量过程(即两指标Lévy过程),对具有分段光滑边界的D∈B_+,有:由于两指标Lévy过程以广义Brownian Sheet,广义OUP_2及Poisson单为特例,故此结果推广了[2]的结果,而方法不同于[2]