共查询到20条相似文献,搜索用时 68 毫秒
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一类改进的非凸二次规划有效集方法修乃华(河北师范学院数学系)ACLASSOFIMPROVEDACTIVESETMETHODSFORNONCONVEXQUADRATICPROGRAMMINGPROBLEM¥XiuNai-hua(Dept.ofMath.... 相似文献
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设D是C中的单位圆盘及为[0,1)上的正规函数。对于0<P<∞,这样的函数用于定义一个带权为 ̄p(|z|)/(1-|z| ̄2)的Bergman空间A ̄p.本文刻画了A ̄p中函数之零点集的结构.作为应用,又给出了A ̄p中函数序列插值的条件。 相似文献
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集值映射多目标规划问题的解集的连通性 总被引:6,自引:2,他引:4
傅万涛 《高校应用数学学报(A辑)》1994,(3):321-328
本文研究了无限维空间里集值映射的多目标规划问题。主要结果是:当目标函数为类凸的集值映射时,其目标空间里的有效点集是连通的;若目标函数为C-凸的集值映射时,其有效解集也连通。 相似文献
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关于度量投影的连续性 总被引:10,自引:1,他引:9
本文引入的Banach空间的(C-I)、(C-Ⅱ),(C-Ⅲ)等几何性质,证明了如下结果。设M是Banach空间的逼近凸子集,如果Banach空间有性质(C-I),(C-Ⅱ)(C-Ⅲ),则度量投影PM连续(范数-范数上半连续,范数-弱上半连续)。这些结果推广了文(4,7,8)相应的定理。最近,D.Kutzarova,Bor-Luh Lin等引入了一些新的凸性空间,本文还研究了这些凸性空间中度量投影 相似文献
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唐立忠 《数学年刊A辑(中文版)》1997,(2)
本文考虑在奇特征的群Z/pZ作用下的Enriques曲面,证明了:如果在此群的作用下,Enriques曲面的不动点集含有一条整曲线C,那么pa(C)<6;并且当pa(C)3时,|C|不是超椭圆的. 相似文献
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一致凸Banach空间中渐近非扩张族的几乎轨道的弱收敛性 总被引:2,自引:1,他引:1
曾六川 《数学物理学报(A辑)》1996,16(4):435-439
设E是一个有Frechet可微范数的一致凸Banach空间,={T;:t∈S}是E的闭凸子集C上的一个渐近非扩张族,u:S→C是的一个几乎轨道.假设其中F是T,s∈S.的所有公共不动点之集.证明了,如果Ww({u(t):t∈S},其中,Ww({u(t):t∈S})是网{u(t):t∈S}的子网的所有弱极限点之集,则u(t)弱收敛到F()的某个元素. 相似文献
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非凸集值映射的包含切性及应用 总被引:4,自引:1,他引:3
本文在一般的Banach空间X中研究从非空闭集KX到X的非凸集值映射F的包含切性问题.得到的结果定理3.1把有关的结论推广到非光滑空间,定理3.3则将有限维空间的正则性定理推广到任意的Banach空间.作为结果的应用,我们证明了无穷维非凸微分包含和非凸控制系统生存解的存在性,且给出了一个方便的等价切性条件. 相似文献
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R. R. Salimov 《Siberian Mathematical Journal》2012,53(4):739-747
Under study is the class of ring Q-homeomorphisms with respect to the p-module. We establish a criterion for a function to belong to the class and solve a problem that stems from M. A. Lavrentiev [1] on the estimation of the measure of the image of the ball under these mappings. We also address the asymptotic behavior of these mappings at a point. 相似文献
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F. J. Schuurmann P. R. Krishnaiah A. K. Chattopadhyay 《Journal of multivariate analysis》1973,3(4):445-453
In this paper, the authors cosider the derivation of the exact distributions of the ratios of the extreme roots to the trace of the Wishart matrix. Also, exact percentage points of these distributions are given and their applications are discussed. 相似文献
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Michael Coons 《The Ramanujan Journal》2013,30(1):39-65
Let $\mathcal{G}(z):=\sum_{n\geqslant0} z^{2^{n}}(1-z^{2^{n}})^{-1}$ denote the generating function of the ruler function, and $\mathcal {F}(z):=\sum_{n\geqslant} z^{2^{n}}(1+z^{2^{n}})^{-1}$ ; note that the special value $\mathcal{F}(1/2)$ is the sum of the reciprocals of the Fermat numbers $F_{n}:=2^{2^{n}}+1$ . The functions $\mathcal{F}(z)$ and $\mathcal{G}(z)$ as well as their special values have been studied by Mahler, Golomb, Schwarz, and Duverney; it is known that the numbers $\mathcal {F}(\alpha)$ and $\mathcal{G}(\alpha)$ are transcendental for all algebraic numbers α which satisfy 0<α<1. For a sequence u, denote the Hankel matrix $H_{n}^{p}(\mathbf {u}):=(u({p+i+j-2}))_{1\leqslant i,j\leqslant n}$ . Let α be a real number. The irrationality exponent μ(α) is defined as the supremum of the set of real numbers μ such that the inequality |α?p/q|<q ?μ has infinitely many solutions (p,q)∈?×?. In this paper, we first prove that the determinants of $H_{n}^{1}(\mathbf {g})$ and $H_{n}^{1}(\mathbf{f})$ are nonzero for every n?1. We then use this result to prove that for b?2 the irrationality exponents $\mu(\mathcal{F}(1/b))$ and $\mu(\mathcal{G}(1/b))$ are equal to 2; in particular, the irrationality exponent of the sum of the reciprocals of the Fermat numbers is 2. 相似文献
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N. K. Bakirov 《Journal of Mathematical Sciences》1989,44(4):425-432
One investigates the asymptotic properties of the quantile test, similar to the properties of the Pearson's chi-square test of fit.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 153, pp. 5–15, 1986.The author is grateful to D. M. Chibisov for useful remarks. 相似文献
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LetT be a positive linear operator on the Banach latticeE and let (S
n
) be a sequence of bounded linear operators onE which converge strongly toT. Our main results are concerned with the question under which additional assumptions onS
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andT the peripheral spectra (S
n
) ofS
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converge to the peripheral spectrum (T) ofT. We are able to treat even the more general case of discretely convergent sequences of operators. 相似文献