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Secondly, using the relation between the weighted modified K-functional, the weighted modulus of smoothness ,the weighted main-part modulus of smoothness . we get the pointwise direct and inverse approximation theorem with Jacobi weight for Szdsz-Kantorovich operator. Thus some results on w = 0w(x denotes the weight function, Ditzian-Totik modulus and classic modulus are extend.

其次,引入一种改变的带权K-泛函,利用带权光滑模和带权主部光滑的关系及带权光滑模与改变带权K-泛函的等价性,关于Szász-Kantorovich算子,讨论了一阶矩不为零的算子的点态带Jacobi权逼近正定理及等价定理,推广了已有的权为零及Ditzian-Totik光滑模和古典光滑模的结果。

According to the study of the stochastic approximation theory, a new optimization method of yield is given.

在对随机逼近理论进行研究的基础上,提出了一种新的合格率优化算法。

Design of the filter is essentially application of approximation theory.

滤波器的设计,实质上是数学逼近理论的应用。

Using the stochastic approximation theory, a rigorous analysis of the convergence properties of the algorithm was presented.

然后,采用随机逼近理论,严格分析了算法的收敛性。

Choosing right functions and methods to describe objects in real life is one of the most important subjects of Approximation Theory and evenApplied Mathematics, and has extensive applications.

选择合适的函数和方法来描述和刻画实际对象是逼近论甚至整个应用数学的一个重要课题,在实际中有着重要和广泛的应用。

In the third part, the design of the controller is based on sliding mode control theory and the approximation capability of fuzzy systems.

第三部分:考虑到摩擦力、未建模动态和干扰对机器人系统的影响,基于滑模控制原理并利用模糊系统的逼近能力设计控制器,应用李亚普诺夫方法设计自适应律,提出了一种新的基于模糊逻辑的自适应模糊滑模控制方案。

Landau's type inequality has some contribution to approximation theory of function and theory of inequality.

Landau's型不等式在函数逼近论和不等式理论具有一定意义。

The paper introduces the theoretical basis of the proximate best uniform approximation theory in detail,and applies it to the design of FIR digital filter.

介绍了近似最佳一致逼近原理的理论基础,并将它应用于FIR DF的设计。

By using approximation theory and least spuare algorithms, a new data-fusion formula of psychrometric coefficient A was presented.

利用函数逼近理论和最小二乘法,提出了干湿球系数A新的数据融合计算公式。

Later he moved into diophantine approximation and transcendence theory .

稍后,他又将精力集中在对丢番图逼近和超越理论的探讨上去了。

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