共查询到20条相似文献,搜索用时 187 毫秒
1.
2.
P. Vértesi 《Periodica Mathematica Hungarica》1978,9(3):249-254
Summary In his paper [1]P. Turán discovers the interesting behaviour of Hermite-Fejér interpolation (based on the ebyev roots) not describing the derivative values at exceptional nodes {n}
n=1
. Answering to his question we construct such exceptional node-sequence for which the mentioned process is bounded for bounded functions whenever –1<x<1 but does not converge for a suitable continuous function at any point of the whole interval [–1, 1]. 相似文献
3.
Randomly Weighted Sums of Subexponential Random Variables with Application to Ruin Theory 总被引:2,自引:0,他引:2
Let {X
k
, 1 k n} be n independent and real-valued random variables with common subexponential distribution function, and let {k, 1 k n} be other n random variables independent of {X
k
, 1 k n} and satisfying a
k
b for some 0 < a b < for all 1 k n. This paper proves that the asymptotic relations P (max1 m n
k=1
m
k
X
k
> x) P (sum
k=1
n
k
X
k
> x) sum
k=1
n
P (
k
X
k
> x) hold as x . In doing so, no any assumption is made on the dependence structure of the sequence {
k
, 1 k n}. An application to ruin theory is proposed. 相似文献
4.
It is well known that a vector is in a second order cone if and only if its arrow matrix is positive semidefinite. But much less well-known is about the relation between a second order cone program (SOCP) and its corresponding semidefinite program (SDP). The correspondence between the dual problem of SOCP and SDP is quite direct and the correspondence between the primal problems is much more complicated. Given a SDP primal optimal solution which is not necessarily arrow-shaped, we can construct a SOCP primal optimal solution. The mapping from the primal optimal solution of SDP to the primal optimal solution of SOCP can be shown to be unique. Conversely, given a SOCP primal optimal solution, we can construct a SDP primal optimal solution which is not an arrow matrix. Indeed, in general no primal optimal solutions of the SOCP-related SDP can be an arrow matrix.Mathematics Subject Classification (2000): 20E28, 20G40, 20C20 相似文献
5.
Summary A. Beck has given an uniform strong law of large numbers for families of mutually symmetric and uniformly essentially bounded sequences of centered random variables, with values in (k, )—B-convex spaces. We show that, without any limitation on the Banach spaces, the technique used by A. Beck allows to replace, in strong law of large numbers making use of conditions bearing on essential bounds, the hypothesis of independence by an hypothesis called conditional-independence-and-centering, which is weaker than both hypothesis of independence and of mutual symmetry; moreover, in several cases, one gets uniform strong laws of large numbers (for families of conditionally-independent-and-centered sequences). The results we get are compared with recent results of G. Pisier, obtained with type p spaces techniques. 相似文献
6.
(MDS)- and Laguerre codes are closely related to geometry and can be used in order to construct certain finite incidence structures. Here we present some structure theorems on near rings, introduce the notion of a coding set of a near ring, which enables us to construct (MDS)-codes, and discuss the same problem for Laguerre codes. To find non trivial Laguerre sets in a near ring is much more difficult.Dedicated to Giuseppe Tallini on the occasion of his 60 th birthday 相似文献
7.
Directional derivative estimates for the optimal value function of a quasidifferentiable programming problem 总被引:1,自引:0,他引:1
Bernd Luderer 《Mathematical Programming》1991,51(1-3):333-348
This paper is concerned with the optimal value function arising in the primal decomposition of a quasidifferentiable programming problem. In particular, estimates for the upper Dini directional derivative of this function are derived. They involve certain Lagrange multipliers occurring in the necessary minimum conditions to the lower level problems. This study generalizes some previously published results on this subject. 相似文献
8.
D. V. Leladze 《Analysis Mathematica》1991,17(4):281-295
n- (n1) fL
p
([–, ]
n
),=1 = (L
C) . , , f([–, ]
n
). 相似文献
9.
- . . . , . 相似文献
10.
F. Bernard L. Thibault D. Zagrodny 《Journal of Optimization Theory and Applications》2005,124(3):561-579
In this paper, we obtain some integration results from subdifferential inclusions for primal lower nice functions by using the Moreau envelopes. A general result concerns an enlarged subdifferential inclusion. It says that, for g primal lower nice at x, the inclusion
around x entails that, for any ]0; [, f – g is - Lipschitz continuous on an appropriate neighborhood of x. 相似文献
11.
12.
А. В. Резцов 《Analysis Mathematica》1995,21(2):129-135
Q (.. , L). Q . P(Sr(2)) — 2 (S
r(2) (r — ). , M(P(S
r(m=sup{t(·)t(·)1:t P(S
r(2)),t 0}. , /4+(1)M(P(S
r(2)))/r
215/17+(1)(r+). (Q), Q L. 相似文献
13.
Let be an open set in the complex plane and let be a holomorphic function on . Let K be a compact subset of with nonempty interior such that 0 K. Let be the Borel measure of R
4 C
2 given by(E =
K
E(z, (z))|z|–2
d(z)where 0 < 2 and d(x
1 + ix
2) = dx
1
dx
2 denotes the Lebesgue measure on C. Let T
be the convolution operator T
f = * f. In this paper we characterize the type set E
associated to T
. 相似文献
14.
Martin Schottenloher 《manuscripta mathematica》1977,21(4):315-327
Given a function: + on a domain spread over an infinite dimensional complex Banach space E with a Schauder basis such that -log is plurisubharmonic and d (d denotes the boundary distance on ) one can find a holomorphic function f: with
f, where
f is the radius of convergence of f. If, in addition, is locally Lipschitz continuous with constant 1, f can be chosen so that (3M)–1
f, where M is the basis constant of E. In the particular case of E=
1 there are holomorphic functions f on with=
f. 相似文献
15.
16.
Regularization of Nonlinear Ill-Posed Variational Inequalities and Convergence Rates 总被引:12,自引:0,他引:12
Let H be a Hilbert space and K be a nonempty closed convex subset of H. For f H, we consider the (ill-posed) problem of finding u K for which 0 for all v K, where A : H H is a monotone (not necessarily linear) operator. We study the approximation of the solutions of the variational inequality by using the following perturbed variational inequality: for f H, f – f , find u, K for which 0 for all v K, where , , and are positive parameters, and K, a perturbation of the set K, is a nonempty closed convex set in H. We establish convergence and a rate O(1 / 3) of convergence of the solutions of the regularized variational inequalities to a solution of the original variational inequality using the Mosco approximation of closed convex sets, where A is a weakly differentiable inverse-strongly-monotone operator. 相似文献
17.
L r 1 k/n W
p
r+1
p<) 2- f(t), f
(r)(t)
, a
. , W
p
r+1
, =1 W
L
r+1
2n- L. 相似文献
18.
Nikolaos S. Papageorgiou 《Analysis Mathematica》1991,17(2):141-152
19.
F. G. Timmesfeld 《Geometriae Dedicata》1998,73(1):85-117
Let G = P SLn(K), n 3, K a division ring or Dn(K), n 4 or En(K), 6 n 8, K a field. Then two types of presentations for G are given. In the first, G is generated by SL2(K)'s which satisfies relations according to the Dynkin diagram of G. In the second, G is generated by a set {Ai | i I } of Abelian groups, which satisfy relations similar to the root subgroups of G. 相似文献
20.