Lenglart不等式与特殊半鞅的收敛集

本文讨论局部鞅和特殊半鞅的收敛集。我们给出Ｌｅｎｇｌａｒｔ不等式的一个推广形式，利用这一不等式对一些定理给出了简单证明，对一些结果作了改进和推广。     

On the Average of Exponents

ＯｎｔｈｅＡｖｅｒａｇｅｏｆＥｘｐｏｎｅｎｔｓＣａｏＨｕｉｚｈｏｎｇ（曹惠中）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｈａｎｄｏｎｇＵｎｉｖｅｒｓｉｔｙ，Ｊｉｎａｎ２５０１００）Ａｂｓｔｒａｃｔ：Ｌｅｔｎ＞１ａｎｄｂｅｔｈｅｐｒｉｍｅｆａ...     

关于B-凸空间及其上黎斯算子West分解

给出 Ｂａｎａｃｈ空间列｛Ｘｉ｝ｉ＝１∞的 ｌｐ乘积Ｂ－凸的特征刻划, 证明Ｂ－凸空间上的每个黎斯算子可Ｗｅｓｔ分解,即分解成一个紧算子和一个拟幂 零算子的和．     

A Generalization of Univaleby Functions with Negative Coefficients

ＡＧｅｎｅｒａｌｉｚａｔｉｏｎｏｆＵｎｉｖａｌｅｎｔＦｕｎｃｔｉｏｎｓｗｉｔｈＮｅｇａｔｉｖｅＣｏｅｆｆｉｃｉｅｎｔｓＭ．ＫＡｏｕｆ（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＦａｃｕｌｔｙｏｆＳｃｉｅ．，Ｕｎｉｖ．ｏｆＭａｎｓｏｕｒａ，Ｍａｎｓｏｕｒａ，Ｅｇｙｐｔ...     

WEAK CONVERGENCE OF HENSTOCK INTEGRABLE SEQUENCES

Some relationships between pointwise and weak convergence of a sequence of Henstock integrable functions are studied, In particular it is provided an example of a sequence of Henstock integrable functions whose pointwise limit is different from the weak one. By introducing an asymptotic version of the Henstock equiintegrability notion it is given a necessary and sufficient condition in order that a pointwisely convergent sequence of Henstock integrable functions is weakly convergent to its pointwise limit.     

Bellman最优性原理——论动态规划(Ⅰ)

对于Bellman最优性原理,本文举出实例表明:(1)策略不一定有(合理的)子策略;(2)子策略不一定存在最优子策略;(3)最优策略不一定有最优子策略;(4)用最短路与反证法来论述最优性原理的正确性,不能肯定成立;(5)Bellman最优性原理与其递推公式并不等价。 讨论四类最优策略之后,给出最优性原理与递推公式等价的一个充分性定理。     

A law of the iterated logarithm for processes with independent increments

ＡＬＡＷＯＦＴＨＥＩＴＥＲＡＴＥＤＬＯＧＡＲＩＴＨＭＦＯＲＰＲＯＣＥＳＳＥＳＷＩＴＨＩＮＤＥＰＥＮＤＥＮＴＩＮＣＲＥＭＥＮＴＳＷＡＮＧＪＩＡＧＡＮＧ（汪嘉冈）（ＥａｓｔＣｈｉｎａＵｎｉｖｅｒｓｉｔｙｏｆＳｃｉｅｎｃｅ＆Ｔｅｃｈｎｏｌｏｇｙ,Ｓｈａｎｇ...     

圆柱型正交各向异性圆形薄板的非线性非对称弯曲问题(Ⅰ)

本文利用“两变量法”[1]研究了圆柱型正交各向异性圆形薄板在非均布横向载荷作用下的非线性非对称弯曲问题,并得到在周边为可移夹支条件下的本问题的一致有效渐近解。     

Navier－Stokes方程组的一个一致有效渐近解

本文利用多重尺度法[1,2]研究了大雷诺数情况下的平板绕流问题,得到了Navier-Stokes方程的一个一致有效渐近解。     

Equivalence of conditions for convergence of iterative methods for singular equations

Equivalence is shown between different conditions for convergence of iterative methods for consistent singular systems of linear equations on Banach spaces. These systems appear in many applications, such as Markov chains and Markov processes. The conditions considered relate the range and null spaces of different operators.