Some convex properties of cesaro vector - valued sequence space 矢值序列空間的一些凸性
In three part we study the ergodicty for k - regularized resolvent operator families including the mean ergodicty , abel - ergodicity and cesaro - ergodicity . we prove the mean ergodic theorems of k - regularized resolvent operator families . and we give out the definition of abel - ergodicity and cesaro - ergodicity for k - regularized resolvent operator families . moreover , we give the relationship between the two kinds of ergodicity and their basic properties 我們證明了k -正則預(yù)解算子族的平均遍歷定理。給出了k -正則預(yù)解算子族的abel遍歷性和ces ro遍歷性的定義,并證明了它們的相互關(guān)系和一些基本性質(zhì)。
This article gets some good results on the two - order markov chains on the base of the studies of one - order markov chains : in infinite experiment , the frequency of times of stationary state is accessing to transition probability . the indication function which is the times of appearance is a special function , so this paper in forth chapter continue to study more general function regarding to two - order markov chains , which is the property of the function of two - order markov chains . in chapter five , this paper study the convergence of cesaro averages for two - order morkov chains 在大量試驗(yàn)中,固定狀態(tài)出現(xiàn)次數(shù)的相對頻率可以用條件概率來加以說明,它是對一重馬氏鏈強(qiáng)極限性質(zhì)的一個(gè)推廣;本論文進(jìn)一步引入了有關(guān)二重馬氏鏈更廣泛的函數(shù)即二重馬氏鏈泛函,并研究了其強(qiáng)極限的性質(zhì);最后研究了二重馬氏鏈泛函的平均收斂性。
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