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有界收敛级数

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There exist bounded multiplier convergent series which are not absolutely convergent.

一定存在有界乘数收敛级数不是绝对收敛的。

Theorem 1 A series of nonnegative terms converges if and only if it's partial sums are bounded above.

定理1 正项级数收敛的充分必要条件是:它的部分和数列有上界。

It follows from the full-invariant of 〓-multiplier convergent series that 〓-bounded sets also have full-invariant.

据〓数乘收敛级数的全称不变性,得到了〓有界集也具有全称不变性这一重要结论。

Fri particular, the Wittmann-type strong law of larg numbers for independent random variables is generalized to the case of NA random variables. We also present the sufficient and necessary condition of the laws of logarithm, and we extend Teicher-type strong law of the large numbers for sequence of NA random variables. Some of the laws of iterated logarithm of Teicher-type, Egorov-type arid Wittmann-type for sequence of NA random variables are obtained. Then we investigate the rate3f ionvergcll( fbr series of NA randonl variables, we obtain soIne results fbr tl1e Iaws of theiterated logarithttl, the laws of logarithm and decreasing order fOr the tail sum.Risk itllttlysis tlleory is a sigIlifica11t part of insurance InatheInatics.

Wittmann(1985a)关于实独立随机变量列的结果,并给出了NA列强大数律成立的若干条件,特别建立了一般NA列对数律成立的充分必要条件,在二阶矩存在的条件下完整的解决了一般NA列对数律的问题,中文摘要2而已有的一些NA列对数律的结果可以由它推出,给出了NA列的Teiclier型强大数律,表明lbiChCI·(1979)给出的实独立随机变量列的强大数律可以减弱其条件等;建立厂不问分布NA列的Teicfl仪;Egorov,Petrov型有界重对数律,以及加权同分布NA列的有界重对数律,进一步推广了NA列的Kolmogory有界重对数律等,特别对NA列建立了Wittm洲型有界重对数律,而其证明方法与独立情形有很大不同,同时通过反例表明在与独立场合类似的条件下,独立列的Wittmann有界重对数律不能完美的推广到NA歹小惰形;最后研究了NA随机变量级数的收敛速度,给出了尾和下降的阶;尾和的有界重对数律,及尾和对数律成立的充要条件等,并通过反例说明 NA随机变量级数与独立随机变量级数在收敛速度方面存在的差异。

A new proof for the boundedness of the quartile operator related to pointwise convergence of Walsh series is given.

给出了有关Walsh级数点态收敛的瓦片算子有界性的一个新证明。

推荐网络例句

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。