搜索结果: 46-60 共查到“知识库 函数逼近论”相关记录99条 . 查询时间(2.355 秒)
An approximation theorem for nuclear operator systems
operator system tensor product nuclear
2010/12/6
We prove that an operator system S is nuclear in the category of operator systems if and only if there exist nets of unital completely positive maps ' : S → Mnand : Mn → S such that ◦ '...
A new look at nonnegativity on closed sets and polynomial optimization
closed sets nonnegative functions nonnegative polynomials semidefinite
2010/11/26
We first show that a continuous function f is nonnegative on a closed set K Rn if and only if (countably many) moment matrices of some signed measure d = fdμ with supp μ = K, are all positive semid...
Strong Semiclassical Approximation of Wigner Functions for the Hartree Dynamics
Strong Semiclassical Approximation Wigner Functions Hartree Dynamics
2010/11/29
We consider the Wigner equation corresponding to a nonlinear Schr¨odinger evolution of the Hartree type in the semiclassical limit ~ → 0.
Asymptotics of multiple orthogonal polynomials for a system of two measures supported on a starlike set
Higher-order recurrences Nikishin systems ratio asymptotics nth root asymptotics
2010/11/29
For a system of two measures supported on a starlike set in the complex plane, we study asymptotic properties of associated multiple orthogonal polynomials Qn and their recurrence coefficients. These ...
Finite-SNR Diversity-Multiplexing Tradeoff via Asymptotic Analysis of Large MIMO Systems
Diversity-multiplexing tradeoff outage probability
2010/12/9
Diversity–multiplexing tradeoff (DMT) was characterized asymptotically (SNR-> infinity) for i.i.d. Rayleigh fading channel by Zheng and Tse [1].
Some identities of Bernoulli numbers and polynomials associated with Bernstein polynomials
Bernstein polynomials Bosonic p-adic integrals
2010/11/26
We investigate some interesting properties of the Bernstein poly-nomials related to the bosonic p-adic integrals on Zp.
A note on q-Bernstein polynomials
q-Bernstein polynomials q-Euler numbers q-Stirling numbers
2010/11/26
Recently, Simsek-Acikgoz([17]) and Kim-Jang-Yi([9]) have studied the q-extension of Bernstein polynomials. In this paper we propose the q-extension of Bern-stein polynomials of degree n, which are dif...
On the Gaussian approximation of vector-valued multiple integrals
Central limit theorem Cumulants Malliavin calculus Multiple integrals
2010/12/1
By combining the findings of two recent, seminal papers by Nualart, Peccati and Tudor, we get that the convergence in law of any sequence of vector-valued multiple integrals Fn towards a centered Gaus...
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...