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排序方式: 共有2509条查询结果,搜索用时 15 毫秒
151.
Let
be a sequence of complex numbers such that
as
. For
close to the imaginary axis, upper bounds of the indicator of a nonzero entire function of exponential type with minimal growth vanishing on
is obtained. These bounds give sufficient conditions for the system of exponents
to be incomplete in an unbounded domain in
. 相似文献
152.
Weighted exponential polynomial approximation 总被引:7,自引:0,他引:7
邓冠铁 《中国科学A辑(英文版)》2003,46(2):280-287
A necessary and sufficient condition for completeness of systems of exponentials with a weight in Lp is established and a quantitative relation between the weight and the system of exponential in Lp is obtained by using a generalization of Malliavin's uniqueness theorem about Watson's problem. 相似文献
153.
This paper concerns the cubic smoothing spline approach to nonparametric regression. After first deriving sharp asymptotic formulas for the eigenvalues of the smoothing matrix, the paper uses these formulas to investigate the efficiency of different selection criteria for choosing the smoothing parameter. Special attention is paid to the generalized maximum likelihood (GML), C
p
and extended exponential (EE) criteria and their marginal Bayesian interpretation. It is shown that (a) when the Bayesian model that motivates GML is true, using C
p
to estimate the smoothing parameter would result in a loss of efficiency with a factor of 10/3, proving and strengthening a conjecture proposed in Stein (1990); (b) when the data indeed come from the C
p
density, using GML would result in a loss of efficiency of ; (c) the loss of efficiency of the EE criterion is at most 1.543 when the data are sampled from its consistent density family. The paper not only studies equally spaced observations (the setting of Stein, 1990), but also investigates general sampling scheme of the design points, and shows that the efficiency results remain the same in both cases.This work is supported in part by NSF grant DMS-0204674 and Harvard University Clark-Cooke Fund.
Mathematics Subject Classification (2000):Primary: 62G08; Secondary: 62G20 相似文献
154.
Qing-xuYan Hui-chaoZou De-xingFeng 《应用数学学报(英文版)》2003,19(2):239-246
In this paper, the stabilization problem of nonuniform Timoshenko beam by some nonlinear boundary feedback controls is considered. By virtue of nonlinear semigroup theory, energy-perturbed approach and exponential multiplier method, it is shown that the vibration of the beam under the proposed control actiondecays exponentially or in negative power of time t as t→∞. 相似文献
155.
To Fu Ma 《Mathematical Methods in the Applied Sciences》2001,24(8):583-594
In this paper, we study the equation under non‐linear boundary conditions which model the vibrations of a beam clamped at x=0 and supported by a non‐linear bearing at x=L. By adding only one damping mechanism at x=L, we prove the existence of a global solution and exponential decay of the energy. Copyright © 2001 John Wiley & Sons, Ltd. 相似文献
156.
We obtain upper bounds for mixed exponential sums of the type
where pm is a prime power with m⩾ 2 and X is a multiplicative character (mod pm). If X is primitive or p⫮(a, b) then we obtain |S(χ,f,p
m)| ⩽2np
2/3 m. If X is of conductor p and p⫮( a, b) then we get the stronger bound |S(χ,f,p
m)|⩽np
m/2.
This paper is dedicated to Prof. Wang Yuan on the occasion of his 70th birthday. 相似文献
157.
Sujit K. Bose 《Proceedings Mathematical Sciences》2001,111(3):365-370
We consider here small flexural vibrations of an Euler-Bernoulli beam with a lumped mass at one end subject to viscous damping
force while the other end is free and the system is set to motion with initial displacementy
0(x) and initial velocityy
1 (x). By investigating the evolution of the motion by Laplace transform, it is proved (in dimensionless units of length and time)
that
, wheret
0 may be sufficiently large, provided that {y
0,y
1} satisfy very general restrictions stated in the concluding theorem. This supplies the restrictions for uniform exponential
energy decay for stabilization of the beam considered in a recent paper. 相似文献
158.
Joel M. Wisdom 《Compositio Mathematica》2000,121(1):55-78
Let R
k
(n) denote the number of representations of a natural number n as the sum of three cubes and a kth power. In this paper, we show that R
3
(n) n
5/9+, and that R
4
(n) n
47/90+, where > 0 is arbitrary. This extends work of Hooley concerning sums of four cubes, to the case of sums of mixed powers. To achieve these bounds, we use a variant of the Selberg sieve method introduced by Hooley to study sums of two kth powers, and we also use various exponential sum estimates. 相似文献
159.
宋儒瑛 《浙江大学学报(理学版)》2000,27(2):128-133
本文研究一类混合指数型积分算子与 Besov型空间的关系 ,重点探讨了该算子关于 Besov型空 间的饱和性 . 相似文献
160.
We prove that in the construct PRAP of pre-approach spaces the class of exponential objects completely determines the exponential objects in certain subconstructs. We show that Exp B Exp PRAP for every coreflective subconstruct B and from this inclusion we deduce the equality Exp B = B Exp PRAP for every subconstruct B that is coreflective and finitely productive. We prove that the same equality holds for non-trivial quotient reflective subconstructs. These results induce well known answers to similar questions on the construct of pretopological spaces and are compared to the topological situation. 相似文献