共查询到20条相似文献,搜索用时 78 毫秒
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(S)性质和局部接近一致光滑空间 总被引:3,自引:0,他引:3
本文证明了(S)性质的一个特征.进而证明了(S)性质和LNUS是等价的.研究了(S)性质和(H*)性质,Hadec性质之间的关系. 相似文献
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教科书上讲解不等式的性质大多借助“天平”,直接得出,同学们理解起来比较直观.由于不等式性质的学习是在等式性质与一元一次方程的学习之后.故我们还可以采用类比等式的性质猜想证明得出不等式的性质,这样更有利于培养和发展我们的思维. 相似文献
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三分Sierpinski垫上的α(=1+(log_2)/(log_3))维Hausdorff测度的Cauchy变换F(z)和二分的情形一样,表现出一些不平常的几何性质.本文考虑联系到F(z)的几个辅助函数,利用Laplace变换和Dong X.H.和Lau K.S.(2003)中的结果,得到了它们的一些重要性质.这些性质对研究F(z)的几何性质和渐近性质起关键作用. 相似文献
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非单调类性质在连续函数研究中起着重要作用.众所周知,Weierstrass函数具有非单调类性质.本文证明了Weierstrass-Mandelbrot型函数具有非单调类性质. 相似文献
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侯学章 《应用泛函分析学报》2011,13(3):319-331
讨论了一类双臂三关节柔性梁系统的分析问题.首先,建立了一个与柔性梁的偏微分方程组及初值边值条件相应的希尔伯特空间中的一阶发展系统.接着讨论系统算子的谱性质和半群性质.最后借助系统算子的谱性质和半群性质提出并证明了柔性梁系统的指数稳定性. 相似文献
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本文首次引入算子集合的C_σ性质和性质的概念,它们与性质C和性质D_σ(1)有一定的关系.两个主要结果是:(1)具有性质C_σ的对偶代数一定是遗传自反的.(2)如果对偶代数所生成的n-自反代数具有性质C_σ,则该对偶代数一定是遗传n-自反的. 相似文献
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普通高中课程标准实验教科书人教A版选修2—1第二章《圆锥曲线与方程》中三次涉及了圆锥曲线的光学性质,(1)第46页,2.2.2椭圆的简单的几何性质,例5涉及了椭圆的光学性质,(2)第66页,2.4.1抛物线及其标准方程,例2涉及了椭圆的光学性质, 相似文献
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Tail dependence for elliptically contoured distributions 总被引:1,自引:0,他引:1
Rafael Schmidt 《Mathematical Methods of Operations Research》2002,55(2):301-327
The relationship between the theory of elliptically contoured distributions and the concept of tail dependence is investigated.
We show that bivariate elliptical distributions possess the so-called tail dependence property if the tail of their generating
random variable is regularly varying, and we give a necessary condition for tail dependence which is somewhat weaker than
regular variation of the latter tail. In addition, we discuss the tail dependence property for some well-known examples of
elliptical distributions, such as the multivariate normal, t, logistic, and Bessel distributions. 相似文献
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Özlem Öksüzer Harun Karsli Fatma Taşdelen Yeşildal 《Numerical Functional Analysis & Optimization》2016,37(5):583-602
This article studies the variation detracting property and rate of approximation of the Bernstein-Stancu polynomials in the space of functions of bounded variation with respect to the variation seminorm. Moreover, we will present Voronovskaya-type theorems for Bernstein-Stancu polynomials Bn, α, βf and for the first derivative of these polynomials. Finally we include some graphical examples. 相似文献
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Dilip Roy 《Annals of the Institute of Statistical Mathematics》2002,54(2):404-410
The earlier concept of bivariate lack of memory property has been examined and an alternative concept of bivariate lack of memory property has been presented along with a set of equivalent conditions. In this process, the link relations known in the literature on univariate lack of memory property have been extended to the bivariate set-up. A multivariate extension of the lack of memory property has also been proposed. 相似文献
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Avi BickWalter Willinger 《Stochastic Processes and their Applications》1994,50(2):349-374
The paper presents a non-probabilistic approach to continuous-time trading where, in analogy to the binomial option-pricing model, terminal payoffs resulting from a given trading strategy are meaningful ‘state-by-state’, i.e., path-by-path. In particular, we obtain results of the form: “If a certain trading strategy is applied and if the realized price trajectory satisfies a certain analytical property, then the terminal payoff is.…” This way, derivation of the Black and Scholes formula and its extension become an exercise in the analysis of a certain class of real functions. While results of the above forms are of great interest if the analytical property in question is believed to be satisfied for almost all realized price trajectories (for example, if the price is believed to follow a certain stochastic process which has this property with probability 1), they are valid regardless of the stochastic process which presumably generates the possible price trajectories or the probability assigned to the set of all paths having this analytical property. 相似文献
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We consider filtrations for which all ℋ2 martingales are of integrable variation. We find a sufficient condition and a necessary condition for this property. Both
these conditions are stated in terms the volume of a filtration. The volume of a filtration is defined using a metric on a
space of σ-algebras. To obtain the aforementioned conditions we use two equivalent metrics introduced by Boylan and Rogge. We also prove
that the original definitions of these metrics can be simplified.
相似文献
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有界变差函数的Durrmeyer-Bézier算子收敛阶的估计 总被引:4,自引:0,他引:4
在Zeng等人对有界变差函数f的Durrmeyer-Bézier算子在区间(0,1)上收敛于(1/(α+1))f(x+)+(α/(α+1))f(x-)的收敛阶进行研究的基础上,利用基函数的概率性质等方法,对其所给的Durrmeyer-B啨zier算子收敛阶估计结果作进一步的改进,得到其收敛阶的精确估计. 相似文献
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本文用 B值渐近鞅的 Doob分解,研究了取值于具有 RNP且对偶可分的 Banach空间B值渐近鞅的估值性质,给出了一系列结果及其证明. 相似文献
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N.H. Bingham A.J. Ostaszewski 《Journal of Mathematical Analysis and Applications》2009,360(2):2014-529
The theory of regular variation is largely complete in one dimension, but is developed under regularity or smoothness assumptions. For functions of a real variable, Lebesgue measurability suffices, and so does having the property of Baire. We find here that the preceding two properties have common combinatorial generalizations, exemplified by ‘containment up to translation of subsequences’. All of our combinatorial regularity properties are equivalent to the uniform convergence property. 相似文献
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In this paper we study a variant to Chan–Vese (CV) segmentation model with rectilinear anisotropy. We show existence of minimizers in the 2-phases case and how they are related to the (anisotropic) Rudin–Osher–Fatemi (ROF) denoising model. Our analysis shows that in the natural case of a piecewise constant on rectangles image ( function in short), there exists a minimizer of the CV functional which is also piecewise constant on rectangles over the same grid that the one defined by the original image. In the multiphase case, we show that minimizers of the CV multiphase functional also share this property in the case that the initial image is a function. We also investigate a multiphase and anisotropic version of the Truncated ROF algorithm, and we compare the solutions given by this algorithm with minimizers of the multiphase anisotropic CV functional. 相似文献
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去除脉冲噪声是图像复原中的重要任务之一.我们提出一类非光滑非凸模型来恢复模糊和脉冲噪声污染的图像,该模型具有灵活的先验信息引入机制,如盒子约束或低秩等.为了求解所提非凸问题,我们采用近端线性化最小化算法.对于算法中的子问题,我们运用交替方向乘子法.在目标函数满足Kurdyka-Lojasiewicz性质的假设下,我们证明所提算法的全局收敛性.数值实验表明,在主观和客观质量评价方面,我们的方法优于$\ell_{1}$TV和非凸TV模型. 相似文献