1) p-uniformly smoothable Banach space
p-一致光滑空间
1.
First,a Hjek-Rènyi type inequality for Banach space valued martingales is given,then the necessary and sufficient conditions of characterizing p-uniformly smoothable Banach space are given by this inequality.
首先得到了取值于Banach空间的鞅的Hàjek-Rèniy型不等式,然后利用此不等式给出了p-一致光滑空间刻划的充要条件。
2) P uniformly smooth spaces
P一致光滑空间
3) p-uniformly smooth Banach space
p-一致光滑的Banach空间
1.
Let 1<p≤2,suppose T is a strictly pseudocontrative self-mappings on a nonempty closed convex bounded subset K of a real p-uniformly smooth Banach space X,and has a fixed point,Q:XontoK is nonexpansive contraction operator,It is proved that the modified Ishikawa iterative sequence with errors converges strongly to the unique fixed point of T.
设1
4) p smooth Space
p阶一致光滑空间
5) p-uniformly TC smoothable Banach space
p一致TC光滑空间
1.
By a special martingale p-uniformly TC smoothable (therefore,p-uniformly smoothable)spaces are characterized,and the law of large numbers and Hàjek-Rèniy inequality for the special martingale with value in p-uniformly TC smoothable Banach spaces also are obtained.
首先在Banach空间中引进了一种光滑模——TC光滑模,然后证明了p一致TC光滑空间和p一致光滑空间是同一类Banach空间,最后用特殊鞅不等式刻划了p一致TC光滑空间,从而刻划了p一致光滑空间,并得到了取值于p一致TC光滑空间的特殊鞅的大数定律和特殊鞅的Hàjek-Rèniy不等式。
6) p-uniform smooth space
p-一致平滑空间
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性质：学名苯乙烯-2-乙烯吡啶共聚物。微黄色粉末或透明小颗粒晶体。无臭，无味。不溶于水，溶于酸、乙醇、丙酮、氯仿。有抗水、防潮性能，适用于多种药片的包衣等。
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