1) Lp-norm convergence
Lp范数收敛性
1.
Let(Tk,k∈P)be a series of operators with property Δ,the methods of martingale are applied to consider Lp-norm convergence of a kind of partial sum sequences｛nk=1Tk,f｝.
设(Tk,k∈P)为一列具有Δ性质的算子,本文运用鞅方法考虑了部分和序列{∑nk=1Tkf}的Lp范数收敛性,得到了一些充分条件,所得结果对于研究鞅变换的收敛性问题是很有用的。
2) Lp convergence
Lp收敛性
1.
By using moment inequality and truncated method,the Lp convergence and complete convergence for the general double index weighted partial sums was obtained,which improve the corresponding results of Q.
在较宽泛的条件下研究了不同分布■混合阵列行加权和的收敛性质,利用矩不等式和截尾方法,获得了一般双下标加权系数的加权部分和的Lp收敛性和完全收敛性定理,改进了吴群英与王远清(2007)的相应结果。
2.
By the mean\'s moment inequality and truncated method, the author is able to give the Lp convergence of weighted sums sum from k=1 to n(ankXk), which extend the corresponding results in some previous papers.
利用矩不等式和截尾方法,研究了sum from k=1 to n(ankXk)的Lp收敛性,所获结论推广和改进了前人的相应结果。
3) norm convergence
范数收敛性
1.
The relationships between the strict convergence and norm convergence,strong convergence as well as weak convergence of a net of bounded linear operators on a Hilbert C*-module are discussed.
讨论了Hilbert C*-模上的有界线性算子网的严格收敛性与范数收敛性、强收敛性、弱收敛性之间的关系,证明了:严格收敛的算子网{Tλ}λ∈Λ的伴随算子网{Tλ*}λ∈Λ也是严格收敛的;严格收敛性是保持加法和数乘运算的;两个严格收敛算子网之积仍是严格收敛的;严格收敛的算子网一定是强收敛的。
4) convergence in norm
依范数收敛
1.
The fundamental relationship between convergence in measure and convergence in norm of sequence of functions {f_n(x)} in L~p is that convergence in norm is able to deduce convergence in measure,however,the inverse proposition is false.
Lp空间中的函数列{nf(x)}依测度收敛与依范数收敛的基本关系是:依范数收敛可推出依测度收敛,但逆命题不成立。
2.
The fundamental relationship between convergence in measure and convergence in norm of sequence of functions {f_n(x)} in integrable function space L~p is that convergence in norm is able to deduce convergence in measure while the inverse proposition is false.
可积函数空间Lp空间中的函数列{fn(x)}依测度收敛与依范数收敛的基本关系:依范数收敛可推出依测度收敛,但逆命题不成立。
5) weighted Lp convergence
加权Lp收敛
6) Lp-norm
LP范数
1.
On the basis of the framework of LP-norm, the mathematic model of classic phase unwrapping methods is studied.
在LP范数框架下,对经典的相位解缠算法的数学模型进行了研究,将解缠算法分为3类,并利用多种解缠方法对伊朗Bam地区的地形SAR干涉图进行了实验分析。
补充资料：范数收敛
范数收敛
normal convergence
范数收敛【。口，‘c.洲明笋以;HOpM~朋cxo脚。-c，] 由集合X到赋范空间Y中的有界映射u*:X~Y构成的级数 f=艺。*(l) k，l的如下的收敛性:由这些映射的范数 !{u*l卜s叩{!}u*(x)]1:x“X}构成的正项级数艺二111:*”收敛. 级数(l)范数收敛蕴涵由Y的元素构成的级数艺孔，。*(:)绝对并一致收敛，但反之不然.例如，如果。*:R~R是由。*(x)=sin(二x)/k(对于k(x蕊k+l)和u*(x)=0(对于xeR\[k，k十lJ)定义的实值函数，则级数艺二.。*(x)绝对收敛，然而艺二，}}。*”=工二，l/k发散. 特别地，假定每个“*:R~Y是非紧区间ICR中的分段连续函数且(1)范数收敛，则在I上可以逐项积分: 丁f(。)“:一*暑:丁·*(。)d 0. 尹1设f: 1 xA~Y(这里ICR是一个区间)在I的每个点处具有左、右极限，则反常积分 了，(，;*)‘:，*。， I称为在集合A上是范数收敛的(加订压山yc。训。瞥mt)，如果存在分段连续正函数g:R~R，使得:l)对任一x任I和任一又〔A，有}}f(x;又)”簇g(x);2)积分J，g(:)dt收敛.(2)范数收敛组涵它绝对并一致收敛，但反之不然.
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参考词条