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71.
J. Sunklodas 《Lithuanian Mathematical Journal》2001,41(3):292-305
We derive lower bounds for Lp norms
, in the central limit theorem for independent and m–dependent random variables with finite fifth order absolute moments and for independent and m–dependent identically distributed random variables with fourth order moments. 相似文献
72.
This paper is concerned with the integration by parts formulae for the pinned or the standard Wiener measures restricted on
a space of paths staying between two curves. The boundary measures, concentrated on the set of paths touching one of the curves
once, are specified. Our approach is based on the polygonal approximations. In particular, to establish the convergence of
boundary terms, a uniform estimate is derived by means of comparison argument for a sequence of random walks conditioned to
stay between two polygons. Applying the Brascamp–Lieb inequality, the stochastic integrals of Wiener type are constructed
relative to the three-dimensional Bessel bridge or the Brownian meander.
Supported in part by the JSPS Grant (B)(1)14340029 相似文献
73.
Yafang Gong 《分析论及其应用》2006,22(4):329-338
Based on Bernstein's Theorem, Kalandia's Lemma describes the error estimate and the smoothness of the remainder under the second part of Hoelder norm when a HSlder function is approximated by its best polynomial approximation. In this paper, Kalandia's Lemma is generalized to the cases that the best polynomial is replaced by one of its four kinds of Chebyshev polynomial expansions, the error estimates of the remainder are given out under Hoeder norm or the weighted HSlder norms. 相似文献
74.
THE EIGENVALUE PERTURBATION BOUND FOR ARBITRARY MATRICES 总被引:1,自引:0,他引:1
Wen Li Jian-xin Chen 《计算数学(英文版)》2006,24(2):141-148
In this paper we present some new absolute and relative perturbation bounds for theeigenvalue for arbitrary matrices, which improves some recent results. The eigenvalueinclusion region is also discussed. 相似文献
75.
R. Mehrem 《Applied mathematics and computation》2011,217(12):5360-5365
This paper shows that the plane wave expansion can be a useful tool in obtaining analytical solutions to infinite integrals over spherical Bessel functions and the derivation of identities for these functions. The integrals are often used in nuclear scattering calculations, where an analytical result can provide an insight into the reaction mechanism. A technique is developed whereby an integral over several special functions which cannot be found in any standard integral table can be broken down into integrals that have existing analytical solutions. 相似文献
76.
77.
78.
SHI Jihuai & REN Guangbin Department of Mathematics University of Science Technology of China Hefei China 《中国科学A辑(英文版)》2006,(11)
In the paper, we characterize the coefficient multiplier spaces of mixed norm spaces (Hp,q((?)1),Hu,v((?)2)) for the values of p, q, u, v in three cases: (i)0
相似文献
79.
We are interested in the calculation of explicit formulae for the condition numbers of the two factors of the polar decomposition of a full rank real or complex m × n matrix A, where m ≥ n. We use a unified presentation that enables us to compute such condition numbers in the Frobenius norm, in cases where A is a square or a rectangular matrix subjected to real or complex perturbations. We denote by σ1 (respectively σ n) the largest (respectively smallest) singular value of A, and by K(A) = σ1/σ n the generalized condition number of A. Our main results are that the absolute condition number of the Hermitian polar factor is √2(1 + K(A)2)1/2/(1 + K(A)) and that the absolute condition number of the unitary factor of a rectangular matrix is 1/σ n. Copyright © 2000 John Wiley & Sons, Ltd. 相似文献
80.
Michele Di Cristo Luca Rondi Sergio Vessella 《Annali di Matematica Pura ed Applicata》2006,185(2):223-255
We treat the stability issue for an inverse problem arising from non-destructive evaluation by thermal imaging. We consider
the determination of an unknown portion of the boundary of a thermic conducting body by overdetermined boundary data for a
parabolic initial-boundary value problem. We obtain that when the unknown part of the boundary is a priori known to be smooth,
the data are as regular as possible and all possible measurements are taken into account, the problem is exponentially ill-posed.
Then, we prove that a single measurement with some a priori information on the unknown part of the boundary and minimal assumptions
on the data, in particular on the thermal conductivity, is enough to have stable determination of the unknown boundary. Given
the exponential ill-posedness, the stability estimate obtained is optimal.
AMS 2000 Mathematics Subject Classification. Primary 35R30, Secondary 35B60, 33C90 相似文献