B值渐近鞅的局部收敛性

Ｂ值渐近鞅是Ｂ值鞅的重要推广,它保持了鞅的一些是一性质,然后对Ｂ值渐近鞅的局部收敛性很少有文献论及。本文利用Ｂ值渐近鞅的Ｄｏｏｂ分解,对Ｂ值渐近鞅的局部收敛性作些探讨,得到了Ｂ值渐近鞅局部收敛性的几个结果,它们是鞅的有关结论的推广与改进。     

B值一致渐近鞅强大数定律的一点注记

本利用了Ｂ值一致渐近鞅的Ｄｏｏｂ分解,对Ｂ值一致渐近鞅的收敛性作进一步的探讨,得到了Ｂ值一致渐近鞅的强大数定律的几个重要结果,从而将实值一致渐近鞅的强大数定律的一些结果推广到了Ｂ值一致渐近鞅的情形。     

B值鞅差型阵列的大数定律

主要研究了Ｂ值鞅差型阵列的大数定律，并讨论了它们与Ｂａｎａｃｈ空间几何持征的依赖关系。     

拟非线性发展方程的B解

利用Ｋｕｒａｔｏｗｓｋｉ非紧致测度及［５］中有关结果，本文证明了Ｂａｎａｃｈ空间拟非线性发展方程Ｂ解的存在性，并且讨论了Ｂ解的一些性质。例子表明［５］及［２］的结论为本文结果之推论。     

B值随机变量序列的局部收敛性及大数定律

本文主要讨论了Ｂ值随机变量序列的局部收敛及大数定律与Ｂａｎａｃｈ空间几何特征的依赖关系，同时用Ｂ值随机变量序列的局部收敛性及大数定律刻划了Ｂａｎａｃｈ空间的一致光滑性。     

非平稳MDP平均模型── 一致最优(G,B)-生成策略的存在性

本文考虑的是可数状态空间任意行动空间非平稳ＭＤＰ平均模型,借鉴于Ｆｅｉｎｂｅｒｇ Ｅ． Ａ（１９９４）的思想,提出了比马氏策略和 Ｆｅｉｎｂｅｒｇ Ｅ． Ａ的（ｆ,Ｂ）－生成策略和更为广泛的（Ｇ,Ｂ）－生成策略的概念,在弱遍历条件下,用概率分析的方法,证明了一致最优（Ｇ,Ｂ）－生成策略的存在性．从而将 Ｆｅｉｎｂｅｒｇ Ｅ． Ａ．（１９９４）的主要结果推广到非平衡可数状态空间情形．     

基于银行下侧风险规避的第三方B2B平台激励策略研究

以电子仓单融资为例, 基于银行下侧风险规避角度, 研究联合授信和委托授信下当第三方B2B平台存在行为隐匿的道德风险时, 银行对B2B平台的激励策略设计问题。研究发现:B2B平台的最优努力水平随收益分配比例、回购比例的增大而减小, 随质押率、贷款利率、产品采购量、损失补偿比例的增大而增大;同时银行为规避违约风险, 需设置质押率、贷款利率和贷款额上限及回购比例下限, 并且银行最优收益分配比例与损失补偿比例、最优损失补偿比例与贷款损失率均成正相关关系。此外, 随着B2B平台工作效率的提高, 联合授信下最优收益分配比例将减小, 最优损失补偿比例将增大, 最终近似于委托授信下的最优损失补偿比例。最后给出数值分析。     

在某些正则区域上的多元B形式曲面

本文首先通过在多面体区域上抬高维数的技巧给出了多元Ｂ形式中曲面的一般性定义．由此我们构造了平行四边形域上、正六边形域上和正八边形成上Ｂ形式的同次曲面格式，并给出了其基函数的递推公式和求导公式．同时我们也给出了正六边形域上插值角点的Ｂ形式同次曲面的表示式．     

双指标B值强鞅与Banach空间的几何性质

本文建立了双指标Ｂ值强鞅Ｐ均方函数的某些不等式，并且给出了Ｂａｎａｃｈ空间具有Ｒａｄｏｎ－Ｎｉｋｏｄｙｍ性质．凸性和光滑性以及ＶＭＤ性质的等价条件．     

B值适应可积序列大数定律的充分必要条件

本文主要研究了Ｂ值适应可积序列大数定律的充分必要条件,同时讨论了它们与Ｂａｎａｃｈ空间几何特征的依赖关系。     

Optimal ordering and pricing strategies in the presence of a B2B spot market

In the current paper, we examine the effect of a B2B spot market on the strategic behavior and the performance of a reseller who continues to use the traditional channel while participating in a B2B spot market. We analyze the case in which a risk-neutral reseller faces an additive or multiplicative demand function and identify sufficient conditions under which the optimal order quantity and retail price exist and are unique. We then analytically examine the case in which a risk-averse reseller participates in a fully liquid spot market. We also study numerically how varying liquidity, spot price volatility, demand variability, and correlation coefficient affect a firm’s strategies and performance. We find that demand variability significantly affects both pricing and ordering strategies, whereas the spot price volatility has less influence on pricing decisions. Our results also show that for a risk-averse reseller to charge a lower retail price when the spot market liquidity increases is desirable. We further show that a B2B spot market cannot always improve a reseller’s utility. These findings shed light on how resellers can adjust their procurement and pricing strategies to align with the new business environment created by the emergence of B2B spot markets, as well as have obvious implications for the development of a B2B spot market.     

交易流动性不对等环境下基于收入共享契约的供应链协调

供应链中存在单一生产商、单一零售商和一个交易流动性不对等的第三方B2B电子交易市场。在零售需求不确定的情况下,分别建立了供应链集中决策模型、传统固定合约均衡决策模型、收入共享契约分散决策模型,验证了收入共享契约在多渠道采购环境下仍可以协调供应链,分析了使供应链达到帕累托改进的收入共享契约的参数设定,最后分别从卖出流动性和买入流动性两个角度讨论了交易流动性对供应链的影响。研究结果表明,卖出流动性好的电子交易市场可以促使供应链达到最优生产量,实现整体收益的最大化;两种交易流动性的趋好都会提高供应链效率,但生产商更偏好卖出流动性好的电子交易市场。     

实子矩阵约束下矩阵方程AX=B的共轭梯度迭代解法

本文研究了实子矩阵约束下矩阵方程AX=B及其最佳逼近的共轭梯度迭代解法.首先运用矩阵分块将原方程AX=B转换为2个低阶方程,利用共轭梯度的思想构造迭代算法;然后证明了算法的有限步终止性;最后给出数值实例验证算法的有效性.     

An optimal sixth‐order quartic B‐spline collocation method for solving Bratu‐type and Lane‐Emden–type problems

This paper is concerned with the numerical solutions of Bratu‐type and Lane‐Emden–type boundary value problems, which describe various physical phenomena in applied science and technology. We present an optimal collocation method based on quartic B‐spine basis functions to solve such problems. This method is constructed by perturbing the original problem and on a uniform mesh. The method has been tested by four nonlinear examples. In order to show the advantage of the new method, numerical results are compared with those obtained by some of the existing methods, such as normal quartic B‐spline collocation method and the finite difference method (FDM). It has been observed that the order of convergence of the proposed method is six, which is two orders of magnitude larger than the normal quartic B‐spline collocation method. Moreover, our method gives highly accurate results than the FDM.     

球面上的几何连续插值

In this paper, a new method for geometrically continuous interpolation in spheres is proposed. The method is entirely based on the spherical B′ezier curves defined by the generalized de Casteljau algorithm. Firstly we compute the tangent directions and curvature vectors at the endpoints of a spherical B′ezier curve. Then, based on the above results, we design a piecewise spherical B′ezier curve with G 1 and G 2 continuity. In order to get the optimal piecewise curve according to two different criteria, we also give a constructive method to determine the shape parameters of the curve. According to the method, any given spherical points can be directly interpolated in the sphere. Experimental results also demonstrate that the method performs well both in uniform speed and magnitude of covariant acceleration.     

电子商务环境下基于Multi-Agent的B2B信任评价模型研究

电子商务的发展为企业的合作提供了机遇,同时也带来了诸多挑战。企业在合作过程中表现出了许多问题,例如信任的缺失,缺乏可以合理全面测量企业信任度的方法等。本文运用Multi-agent技术,建立了结合企业基本信息的声誉评价Agent和结合特定交易信息的单次交易评价Agent的信任评价指标体系,并在此基础上构建了基于Multi-agent的B2B信任评价模型,最后进行了仿真实验。论文的研究对于企业在电子商务环境下选择合适的合作伙伴,解决合作中的信任问题,适应电子商务发展的需要具有一定的意义。     

Operator-valued Fourier multiplier theorems on Lp(X) and geometry of Banach spaces

This paper gives the optimal order l of smoothness in the Mihlin and Hörmander conditions for operator-valued Fourier multiplier theorems. This optimal order l is determined by the geometry of the underlying Banach spaces (e.g. Fourier type). This requires a new approach to such multiplier theorems, which in turn leads to rather weak assumptions formulated in terms of Besov norms.     

SOME MODULES OVER A B*-ALGEBRA

Abstract

Some modules, ?_p (B) (1 < p < ∞), over a commutative B*-alge= bra with identity are discussed and these are seen to have properties similar to the Banach spaces ?_p (1 < p < ∞).