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1.
Peter Brass 《Monatshefte für Mathematik》1999,127(3):177-181
The minimum boundary length density of a lattice-periodic set with given period lattice and area density is determined, together
with the extremal sets, and a conjecture on the higher-dimensional analogue is made. This improves previous results of Hadwiger
for -periodic d-dimensional sets and of Schnell and Wills on two-dimensional sets with arbitrary period-lattice.
Received 21 May 1997; in revised form 1 December 1997 相似文献
2.
Khalid KOUFANY 《数学学报(英文版)》2006,22(5):1467-1472
Let Ω be a symmetric cone. In this note, we introduce Hilbert's projective metric on Ω in terms of Jordan algebras and we apply it to prove that, given a linear invertible transformation g such that g(Ω) = Ω and a real number p, |p| 〉 1, there exists a unique element x ∈ Ω satisfying g(x) = x^p. 相似文献
3.
Alexander J. Zaslavski 《Set-Valued Analysis》2007,15(3):223-237
In this paper we use the penalty approach in order to study constrained minimization problems in a complete metric space with
locally Lipschitzian mixed constraints. A penalty function is said to have the exact penalty property if there is a penalty
coefficient for which a solution of an unconstrained penalized problem is a solution of the corresponding constrained problem.
In this paper we establish sufficient conditions for the exact penalty property.
相似文献
4.
Fedor Pakovich 《Geometric And Functional Analysis》2008,18(1):163-183
In this paper we give a solution of the following problem: under what conditions on infinite compact sets and polynomials f
1, f
2 do the preimages f
1−1{K
1} and f
2−1{K
2} coincide. Besides, we investigate some related questions. In particular, we show that polynomials sharing an invariant compact
set distinct from a point have equal Julia sets.
Received: May 2006, Accepted: June 2006 相似文献
5.
Minty’s lemma and vector variational-like inequalities 总被引:1,自引:0,他引:1
M. Chinaie T. Jabarootian M. Rezaie J. Zafarani 《Journal of Global Optimization》2008,40(1-3):463-473
In this paper, we consider two vector versions of Minty’s Lemma and obtain existence theorems for three kinds of vector variational-like
inequalities. The results presented in this paper are extension and improvement of the corresponding results of other authors.
J. Zafarani was partially supported by the Center of Excellence for Mathematics (University of Isfahan). 相似文献
6.
YoungHoKIM 《数学学报(英文版)》2005,21(2):423-434
In this paper, we consider a bound on a general version of the integral inequalities for functions and also study the qualitative behavior of the solutions of certain classes of the hyperbolic partial delay differential equations under the integral inequalities. 相似文献
7.
Q. X. Yang 《Proceedings Mathematical Sciences》2005,115(3):347-368
In this paper, we characterize the symbol in Hormander symbol classS
ρ
m
,δ (m ∈ R, ρ, δ ≥ 0) by its wavelet coefficients. Consequently, we analyse the kerneldistribution property for the symbol in the symbol classS
ρ
m
,δ (m ∈R, ρ > 0, δ≥ 0) which is more general than known results ; for non-regular symbol operators, we establish sharp L2-continuity which is better than Calderón and Vaillancourt’s result, and establishL
p
(1 ≤p ≤∞) continuity which is new and sharp. Our new idea is to analyse the symbol operators in phase space with relative wavelets,
and to establish the kernel distribution property and the operator’s continuity on the basis of the wavelets coefficients
in phase space. 相似文献
8.
Yong-Zhuo Chen 《Positivity》2008,12(4):643-652
Let A and H be two operators defined in an ordered Banach space such that
, and
, where . This paper discusses the conditions which will guarantee the existence of an asymptotically attractive fixed point for T = A + H.
相似文献
9.
We further present some semi-discrete modifications to the cubically convergent iterative methods derived by Kanwar and Tomar
(Modified families of Newton, Halley and Chebyshev methods, Appl. Math. Comput. http://dx.doi.org/10.1016/j.amc.2007.02.119)
and derived a number of interesting new classes of third-order multi-point iterative methods free from second derivatives.
Furthermore, several functions have been tested and all the methods considered are found to be effective and compared to the
well-known existing third and fourth-order multi-point iterative methods.
相似文献
10.
V. Metz 《Potential Analysis》2007,26(2):121-137
On the bounded Sierpinski gasket F we use the set of essential fixed points V
0 as a boundary and consider the fractal Brownian motion on F killed in V
0. The corresponding Dirichlet–Laplacian is described in terms of a kind of hyperbolic distance, a metric which explodes near
the boundary. We consider Harnack inequalities, Green’s function estimates and (random) products of matrices defining the
local energy of harmonic functions.
Supported by the DFG research group ‘Spektrale Analysis, asymptotische Verteilungen und stochastische Dynamik.’ 相似文献
11.
We show that a finite collection of exchangeable random variables on an arbitrary measurable space is a signed mixture of
i.i.d. random variables. Two applications of this idea are examined, one concerning Bayesian consistency, in which it is established
that a sequence of posterior distributions continues to converge to the true value of a parameter θ under much wider assumptions
than are ordinarily supposed, the next pertaining to Statistical Physics where it is demonstrated that the quantum statistics
of Fermi-Dirac may be derived from the statistics of classical (i.e. independent) particles by means of a signed mixture of
multinomial distributions.
相似文献
12.
Inequalities for the gamma function 总被引:1,自引:1,他引:0
Necdet Batir 《Archiv der Mathematik》2008,91(6):554-563
Some inequalities for the gamma function are given. These results refine the classical Stirling approximation and its many
recent improvements.
Received: 2 May 2008, Revised: 2 September 2008 相似文献
13.
Stephan Hell 《Discrete and Computational Geometry》2008,40(4):586-594
Birch and Tverberg partitions are closely related concepts from discrete geometry. We show two properties for the number of
Birch partitions: Evenness and a lower bound. This implies the first nontrivial lower bound for the number of Tverberg partitions
that holds for arbitrary q, where q is the number of partition blocks. The proofs are based on direct arguments and do not use the equivariant method from topological
combinatorics. 相似文献
14.
X. Wang 《Journal of Optimization Theory and Applications》2009,141(3):661-676
The extragradient method uses only the values of the function in the variational inequality to solve it. In many real-life
problems, the functions do not have explicit expressions and their evaluations are expensive. Therefore, it is important and
practical to reduce the number of function evaluations used in these problems. In order to do this, we present some modifications
to one existing extragradient method. First, we analyze the limit of the projection along a direction onto a closed convex
set. Then, using the obtained result, we give a horizontal asymptotic property of an estimated function to the one measuring
the progress in each iteration. From this property, a Newton search as well a self-adjusted relaxation procedure are introduced
with an improved steplength into the extragradient method. Besides the theoretical background, numerical results are given
to show the progress of the modified method.
This work was supported by National Natural Science Foundation of China 10571083 and Doctoral Fund of Ministry of Education
of China 20060284001. 相似文献
15.
In this paper, necessary and sufficient conditions for equality in the inequalities of Oppenheim and Schur for positive semidefinite
matrices are investigated.
Supported by National Natural Science Foundation of China (No. 10531070), National Basic Research Program of China 973 Program
(No. 2006CB805900), National Research Program of China 863 Program (No. 2006AA11Z209) and the Natural Science Foundation of
Shanghai (Grant No. 06ZR14049). 相似文献
16.
L. P. Usol’tsev 《Mathematical Notes》1999,65(1):124-127
In this paper for a slowly increasing exponential function we study the degree of deviation of the distribution of the sequence
of its fractional parts from the “ideal” uniform distribution. An estimate is given which can appropriately be called the
measure of irregularity of the distribution of a given sequence.
Translated fromMatematicheskie Zametki, Vol. 65, No. 1, pp. 148–152, January, 1999. 相似文献
17.
R. N. Karasev 《Discrete and Computational Geometry》2008,39(4):766-777
In this paper, we consider finite families of convex sets in ℝ
d
such that every d or fewer sets of the family have a common point. For some families of this type, we give upper bounds on the size of a finite
set intersecting all sets of the family.
This research was supported by the Russian Foundation for the Basic Research Grants No. 03-01-00801 and 06-01-00648, and by
the President of the Russian Federation Grant No. MK-5724.2006.1. 相似文献
18.
It is an interesting topic to determine the structure of a finite group which has a given number of elements of maximal order.
In this article, the author classified finite groups with 30 elements of maximal order.
This work is supported by NSFC (No. 10571128), NSF of CHONGQING (CSTC: 2005BB8096). 相似文献
19.
Mark Veraar 《Potential Analysis》2009,30(4):341-370
In this paper we extend certain correlation inequalities for vector-valued Gaussian random variables due to Kolmogorov and Rozanov. The inequalities are applied to sequences of Gaussian random variables and Gaussian processes. For sequences of Gaussian random variables satisfying a correlation assumption, we prove a Borel-Cantelli lemma, maximal inequalities and several laws of large numbers. This extends results of Be?ka and Ciesielski and of Hytönen and the author. In the second part of the paper we consider a certain class of vector-valued Gaussian processes which are α-Hölder continuous in p-th moment. For these processes we obtain Besov regularity of the paths of order α. We also obtain estimates for the moments in the Besov norm. In particular, the results are applied to vector-valued fractional Brownian motions. These results extend earlier work of Ciesielski, Kerkyacharian and Roynette and of Hytönen and the author. 相似文献
20.
We describe a method for determining the minimal length of elements in the generalized Thompson’s groups F(p). We compute the length of an element by constructing a tree pair diagram for the element, classifying the nodes of the tree
and summing associated weights from the pairs of node classifications. We use this method to effectively find minimal length
representatives of an element.
相似文献