首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到10条相似文献,搜索用时 156 毫秒
1.
Let be the polynomial whose zeros are the j-invariants of supersingular elliptic curves over . Generalizing a construction of Atkin described in a recent paper by Kaneko and Zagier (Computational Perspectives on Number Theory (Chicago, IL, 1995), AMS/IP 7 (1998) 97-126), we define an inner product on for every . Suppose a system of orthogonal polynomials {Pn,ψ(x)}n=0 with respect to exists. We prove that if n is sufficiently large and ψ(x)Pn,ψ(x) is p-integral, then over . Further, we obtain an interpretation of these orthogonal polynomials as a p-adic limit of polynomials associated to p-adic modular forms.  相似文献   

2.
Let Un be an extended Tchebycheff system on the real line. Given a point , where x1<?<xn, we denote by the polynomial from Un, which has zeros x1,…,xn. (It is uniquely determined up to multiplication by a constant.) The system Un has the Markov interlacing property (M) if the assumption that and interlace implies that the zeros of and interlace strictly, unless . We formulate a general condition which ensures the validity of the property (M) for polynomials from Un. We also prove that the condition is satisfied for some known systems, including exponential polynomials and . As a corollary we obtain that property (M) holds true for Müntz polynomials , too.  相似文献   

3.
We study the Kolmogorov m-widths and the linear m-widths of the weighted Besov classes on [−1,1], where Lq,μ, 1?q?∞, denotes the Lq space on [−1,1] with respect to the measure , μ>0. Optimal asymptotic orders of and as m→∞ are obtained for all 1?p,τ?∞. It turns out that in many cases, the orders of are significantly smaller than the corresponding orders of the best m-term approximation by ultraspherical polynomials, which is somewhat surprising.  相似文献   

4.
Let , B and Aj () be real nonsingular n×n matrices, λk () be real numbers. In this paper we present a sufficient condition for the system to be a frame for . This sufficient condition also shows the stability of the system with respect to the perturbation of matrix dilation parameters and the perturbation of translation parameters .  相似文献   

5.
Let C be a closed convex subset of a uniformly smooth Banach space E and let T:CC be a nonexpansive mapping with a nonempty fixed points set. Given a point uC, the initial guess x0C is chosen arbitrarily and given sequences , and in (0,1), the following conditions are satisfied:
(i)
;
(ii)
αn→0, βn→0 and 0<a?γn, for some a∈(0,1);
(iii)
, and . Let be a composite iteration process defined by
  相似文献   

6.
Denote by xnk(α), k=1,…,n, the zeros of the Laguerre polynomial . We establish monotonicity with respect to the parameter α of certain functions involving xnk(α). As a consequence we obtain sharp upper bounds for the largest zero of .  相似文献   

7.
8.
Given a function f on Rn, we introduce the concept of anisotropic regularization as a generalization of Tikhonov regularization fε(x)=f(x)+εx. When f is a continuous -function on Rn and K is a box in Rn, we study the properties of and the limiting behavior of solutions of a regularized box variational inequality problem , with emphasis on the existence of weak Pareto minimal points with respect to K. This work generalizes results of Sznajder and Gowda (1998) proved in the setting of nonlinear complementarity problems.  相似文献   

9.
10.
By constructing the comparison functions and the perturbed method, it is showed that any solution uC2(Ω) to the semilinear elliptic problems Δu=k(x)g(u), xΩ, u|Ω=+∞ satisfies , where Ω is a bounded domain with smooth boundary in RN; , −2<σ, c0>0, ; gC1[0,∞), g?0 and is increasing on (0,∞), there exists ρ>0 such that , ∀ξ>0, , .  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号