(h,ψ)-广义单调与(h,ψ)-广义凸

本文定义了几种(h,ψ)-广义凸性及(h,ψ)-广义单调性,讨论了广义(h,ψ)-方向导数与Clarke方向导数,广义(h,ψ)-梯度集与Clarke梯度集等的相关关系.利用此关系证明了这些广义凸性与广义单调性之间的相关关系,同时还揭示了这些广义凸性、单调性与通常广义凸性、单调性存在的内在联系.     

(h, Φ)-entropy differential metric

Burbea and Rao (1982a, 1982b) gave some general methods for constructing quadratic differential metrics on probability spaces. Using these methods, they obtained the Fisher information metric as a particular case. In this paper we apply the method based on entropy measures to obtain a Riemannian metric based on (h, )-entropy measures (Salicrú et al., 1993). The geodesic distances based on that information metric have been computed for a number of parametric families of distributions. The use of geodesic distances in testing statistical hypotheses is illustrated by an example within the Pareto family. We obtain the asymptotic distribution of the information matrices associated with the metric when the parameter is replaced by its maximum likelihood estimator. The relation between the information matrices and the Cramér-Rao inequality is also obtained.     

(h,l)-蕴涵及其性质

本文首先引入了(h,l)-蕴涵的概念并讨论了其基本性质。其次,讨论了(h,l)-蕴涵与其它几类模糊蕴涵之间的关系。最后,给出了与(h,l)-蕴涵相关的函数方程的解。     

Some Arithmetic on the Hardy Sums s2（h, κ） and s3（h, κ）

In this work, Rademacher‘s two questions about Dedekind sums are applied to the Hardy sums s2(h,κ) and s3(h,κ). Some relations between these sums are obtained and some inequalities are given.     

关于（k,h）-Fibonacci和（k,h）-Lucas数的置换因子循环矩阵的谱范数

给出了置换因子循环矩阵A=Percirc P（F_0^（k,h）,F_1^（k,h）,＊＊＊,F_n-1^（k,h）和B=Percirc P（L_0^（k,h）,L_1^（k,h）,＊＊＊,L_n-1^（k,h）的谱范数的上界与下界,得到了矩阵A与B的Kronecker积与Hadamard积的谱范数的一些界．     

SCORE LISTS IN （h, k）-BIPARTITE HYPERTOURNAMENTS

Given non-negative integers m,n,h and k with m ≥ h ＞ 1 and n ≥ k ＞ 1, an (h, k)-bipartite hypertournament on m n vertices is a triple (U, V, A), where U and V are two sets of vertices with |U| = m and |V| = n, and A is a set of (h k)-tuples of vertices,called arcs, with at most h vertices from U and at most k vertices from V, such that for any h k subsets U1 ∪ V1 of U ∪ V, A contains exactly one of the (h k)! (h k)-tuples whose entries belong to U1 ∪ V1. Necessary and sufficient conditions for a pair of non-decreasing sequences of non-negative integers to be the losing score lists or score lists of some(h, k)-bipartite hypertournament are obtained.     

P型NFDE的(h_0,h,M_0)稳定性

本文将M0稳定性结合欢度量的概念推广到P型NFDE，并给出了稳定性的几个定理．     

Algorithms and Identities for(q,h)-Bernstein Polynomials and(q,h)-Bézier Curves–A Non-Blossoming Approach

We establish several fundamental identities,including recurrence relations,degree elevation formulas,partition of unity and Marsden identity,for quantum Bernstein bases and quantum Bézier curves.We also develop two term recurrence relations for quantum Bernstein bases and recursive evaluation algorithms for quantum Bézier curves.Our proofs use standard mathematical induction and other elementary techniques.     

(h,ψ)-数学规划问题的必要条件

给出了（h,ψ）-η伪凸函数的概念，利用Ben-Tal广义代数运算讨论了它与η－伪凸函数之间的关系。当目标函数和约束函数均为（h,ψ）-可微函数时，在广义Slater约束规格下，得到了相应规划问题取得最优解的Kuhn-Tucker必要条件。     

Computation of K0(RMNS_(θ,h))

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The Pseudo-differential Operator hμ,a on Hankel Invariant Spaces

Using Hankel transform the symbol 'a' is defined and the pseudo-differential operator (p.d.o.) h_μ,a associated with the Bessel operator d ²/dx ² + (1 ? 4μ ²)/4x ² in terms of this symbol is defined. It is shown that the operator h_μ,a is a continuous linear map of a Hankel invariant space into itself. A special pseudo-differential operator called the Hankel potential is defined and some of its properties are investigated.     

Problemi al contorno ellittici,con dati discontinui,dotati di soluzioni hölderiane

Sunto Si trovano alcune condizioni le quali assicurano che la soluzione di un problema al contorno per una equazione differenziale del secondo ordine, di tipo ellittico e con dati discontinui, è h?lderiana. A Giovanni Sansone nel suo 70^mo compleanno.     

(h,ψ)-广义切导数与最优性条件

借助于Ben-Tal广义代数运算定义了广义（h，ψ）-Clarke切锥、广义（h，ψ）-邻接切锥和广义（h，ψ）-伴随切锥，由此定义了广义（h，ψ）-Clarke方向导数、广义（h，ψ）-邻接方向导数、广义（h，ψ）-伴随方向导数及（h，ψ）-广义梯度，由此给出了具有（h，ψ）-凸性的的实值函数最优解的判别条件，文章是Ben-Bal代数在凸分析理论中的应用，所有结果和所用方法可以应用于多目标优化的研究。     

On the Monotonicity of (κ; g, h)-graphs

A (k;g)-graph is a k-regular graph with girth g. A (k;g)-cage is a (k;g)-graph with the least possible number of vertices. Let f(k;g) denote the number of vertices in a (k;g)-cage. The girth pair of a graph gives the length of a shortest odd and a shortest even cycle. A fc-regular graph with girth pair (g,h) is called a (k;g,h)-graph. A (k;g,h)-cage is a (k;g,h)-graph with the least possible number of vertices. Let f(k;g,h) denote the number of vertices in a (k;g,h)-cage. In this paper, we prove the following strict inequality f(k;h-1,h)相似文献   

一个类似广义Dedekind和S_2(h,n,k)的二次均值

本文的主要目的是利用 Dirichlet L -函数的均值研究 n为奇数时 ,类似广义 Dedekind和 S2 ( h,n,k)的二次均值 ,得到了两个有趣的渐近公式 .     

(h,φ )-Lipschitz函数及其广义方向导数和广义梯度

借助于Ben-Tal广义代数运算引进了一种新的函数--- (h,φ)-Lipschitz函数. 讨论了它与Lipschitz函数之间的关系,给出了它的广义方向导数和广义梯度,得到了它们的若干性质. 作为应用,给出了广义方向导数与切锥之间的关系.     

(h,)-Lipschitz函数及其广义方向导数和广义梯度

借助于Ben—Tal广义代数运算引进了一种新的函数-(h,)-Lipschitz函数．讨论了它与Lipschitz函数之间的关系,给出了它的广义方向导数和广义梯度,得到了它们的若干性质．作为应用,给出了广义方向导数与切锥之间的关系。