搜索结果: 76-90 共查到“函数逼近论”相关记录126条 . 查询时间(1.447 秒)
Bernstein type inequality in monotone rational approximation
Bernstein type inequality monotone rational approximation
2010/12/10
The following analog of Bernstein inequality for monotone rational functions is established: if R is an increasing on [−1, 1] rational function of degree n, then R′(x) < 9n 1 − x2 kRk, x ∈...
Dvoretzky type theorems for multivariate polynomials and sections of convex bodies
Ramsey type theorems Dvoretsky’s theorem John’s ellipsoid.
2010/11/29
In this paper we prove the Gromov–Milman conjecture (the Dvoretzky typ theorem) for homogeneous polynomials on Rn, and improve bounds on the number n(d, k)in the analogous conjecture for odd degrees d...
Asymptotic stability of solutions to abstract differential equations
Nonlinear inequality Asymptotic stability Abstract differential equations
2010/12/15
An evolution problem for abstract differential equations is studied. The typical problem is:
˙ u = A(t)u+F(t,u), t ≥ 0; u(0) = u0; ˙ u =du dt ∗)Here A(t) is a linear bounded operator in a Hilbe...
A polynomial bracket for the Dubrovin--Zhang hierarchies
polynomial bracket Dubrovin--Zhang hierarchies
2010/12/14
We define a hierarchy of Hamiltonian PDEs associ-ated to an arbitrary tau-function in the semi-simple orbit of the Givental group action on genus expansions of Frobenius manifolds.We prove that the eq...
Congruences on the Bell polynomials and the derangement polynomials
Bell polynomials Derangement polynomials Stirling numbers Congruences
2010/12/7
In this note, by the umbra calculus method, the Sun and Zagier’s congruences involving the Bell numbers and the derangement numbers are generalized to the polynomial cases. Some special congruences ar...
Degenerate self-similar measures, spectral asymptotics and small deviations of Gaussian processes
Degenerate self-similar measures spectral asymptotics small deviations of Gaussian processes
2010/12/1
The problem of small ball behavior for the norms of Gaussian processes is intensively studied
in recent years. The simplest and most explored case is that of L2-norm. Let us consider a
Gaussian proc...
Orthogonality Relations for Multivariate Krawtchouk Polynomials
Multivariate orthogonal polynomial Hypergeometric function
2010/12/1
The orthogonality relations of multivariate Krawtchouk polynomials are discussed. For two variables case, an necessary and sufficient condition of orthogonality are given by Rahman and Gr¨unbaum in [1...
A formula for the HOMFLY polynomial of rational links
formula for the HOMFLY polynomial rational links
2010/12/3
In this paper we give an explicit formula for the HOMFLY polynomial of a rational link (in particular, knot) in terms of a special continued fraction for the rational number that defines the given lin...
Rate of Convergence and Tractability of the Radial Function Approximation Problem
Gaussian kernel reproducing kernel Hilbert spaces shape parameter
2011/1/21
This article studies the problem of approximating functions belonging to a Hilbert space Hd with an isotropic or anisotropic Gaussian reproducing kernel.
Gorenstein投射模
Gorenstein投射模 Gorenstein代数 逼近
2009/12/23
本文简要概述Gorenstein同调代数中最基本的概念、结果、典型的证明以及最近的若干进展。
基于广义逆的矩阵PADE逼近的Pfaffian计算公式及其应用
Pfaffian计算公式 矩阵PADE逼近 广义逆的
2009/10/26
A new matrir Pade approximants (GMPA) based on generalized inverse was at first introduced by [1]. The aim of this paper is to give a Psaan formula for denominator polynomial of GMPA, which should rep...
平面任意区域自适应网格逼近
网格逼近 自适应 平面任意区域
2009/10/23
平面任意区域自适应网格逼近王建华（上海交通大学）王卫中（西南电力设计院）ＡＤＡＰＴＩＶＥＭＥＳＨＡＰＰＲＯＸＩＭＡＴＩＯＮＦＯＲＡＲＢＩＴＲＡＲＹＰＬＡＮＡＲＲＥＧＩＯＮＳ￥ＷａｎｇＪｉａｎｈｕａ（ＳｈａｎｇｈａｉＪｉａｏＴｏｎｇＵｎｉｖｅｒｓｉｔｙ...
线性流形上一类矩阵方程的最佳逼近问题
最佳逼近 矩阵方程 线性流形
2009/10/23
本文研究矩阵方程AXB=C在线性流形Γ={X∈SR~(n×n)|||TX-Y||=min}上的最佳逼近问题,得到了问题解的表达式．此外,还给出了求解该问题的数值算法和算例．
B_a空间中神经网络和平移网络的逼近
神经网络 平移网络 B_a空间 逼近
2009/10/22
讨论了具一个隐层单元的神经网络在B_a空间中逼近的特征性定理并给出了逼近估计.对于平移网络,建立了Favard型估计.Orlicz空间中的相应结果均作为应用而给出.
该文引进Ba空间多元加权光滑模,推广L^p空间的DitzianTotik模, 证明该模与K泛函的等价性. 作为应用,讨论定义在单纯形上多元Bernstein-Durrmeyer算子与多元加权光滑模之间的关系. 即以多元加权光滑模为尺度, 建立Bernstein-Durrmeyer算子在Ba空间逼近阶的上界与下界估计.