共查询到20条相似文献,搜索用时 140 毫秒
1.
Starting from a mass transportation proof of the Brunn–Minkowski inequality on convex sets, we improve the inequality showing a sharp estimate about the stability property of optimal sets. This is based on a Poincaré-type trace inequality on convex sets that is also proved in sharp form. 相似文献
2.
In this paper some isoperimetric problems are studied, particularly the extremal property of the mean exit time of the random walk from finite sets. This isoperimetric problem is inserted into the set of equivalent conditions of the diagonal upper estimate of transition probability of random walks on weighted graphs. 相似文献
3.
In this paper we establish the oscillation inequality of harmonic functions and Hlder estimate of the functions in the domain of the Laplacian on connected post critically finite(p.c.f.) self-similar sets. 相似文献
4.
The authors consider Sidon sets of first kind. By comparing them with the Steinhaus sequence, they prove a local Khintchine-Kahane inequality on compact sets. As consequences, they prove the following results for Sidon series taking values in a Banach space: the summability on a set of positive measure implies the almost everywhere convergence; the contraction principle of Billard-Kahane remains true for Sidon series. As applications, they extend a uniqueness theorem of Zygmund concerning lacunary Fourier series and an analytic continuation theorem of Hadamard concerning lacunary Taylor series. Some of their results still hold for Sidon sets of second kind. 相似文献
5.
6.
Janson and Janson, ?uczak and Ruciński proved several inequalities for the lower tail of the distribution of the number of events that hold, when all the events are up‐sets (increasing events) of a special form—each event is the intersection of some subset of a single set of independent events (i.e., a principal up‐set). We show that these inequalities in fact hold for arbitrary up‐sets, by modifying existing proofs to use only positive correlation, avoiding the need to assume positive correlation conditioned on one of the events. © 2013 Wiley Periodicals, Inc. Random Struct. Alg., 46, 391–395, 2015 相似文献
7.
Djamel Ait-Akli & Abdelkader Merakeb 《偏微分方程(英文版)》2020,33(1):64-92
In this paper we consider the Lamé system on a polygonal convex domain
with mixed boundary conditions of Dirichlet-Neumann type. An explicit L2 norm
estimate for the gradient of the solution of this problem is established. This leads to an
explicit bound of the H1 norm of this solution. Note that the obtained upper-bound is
not optimal. 相似文献
8.
In this paper, a sharp estimate for a slight modification of the classical trapezoidal rule is obtained by using Stefenssen's inequality. 相似文献
9.
10.
Cristina Draghici 《Journal of Mathematical Analysis and Applications》2006,324(1):543-554
We prove that the integral of n functions over a symmetric set L in Rn, with additional properties, increases when the functions are replaced by their symmetric decreasing rearrangements. The result is known when L is a centrally symmetric convex set, and our result extends it to nonconvex sets. We deduce as consequences, inequalities for the average of a function whose level sets are of the same type as L, over measurable sets in Rn. The average of such a function on E is maximized by the average over the symmetric set E*. 相似文献
11.
IMRE Z. Ruzsa 《Geometriae Dedicata》1997,67(3):337-348
We improve the Brunn–Minkowski inequality for nonconvex sets. Besides the volume of the sets, our estimate depends on the volume of the convex hull of one of the sets. The estimate is asymptotically the best possible if this set is fixed and the size of the other tends to infinity. 相似文献
12.
A Remez-type inequality is proved for a large family of sets with cusps in RN, including compact, fat and semialgebraic (or subanalytic) sets. 相似文献
13.
研究了一维Cauchy分布的加权Poincaré不等式和加权log-Sobolev不等式.我们给出并证明了所给权函数的最优性,同时对不等式中的常数进行了阶的估计. 相似文献
14.
关于内积空间中逆Cauchy-Schwarz不等式的一些结果 总被引:1,自引:0,他引:1
Some new reverses of the Cauchy-Schwarz inequality in inner product spaces are presented in this paper. As an application of the main result, a formula for error estimate concerning Cauchy-Schwarz‘s inequality is provided. The results obtained in the paper complement and improve some recent work about this topic. 相似文献
15.
Vladimir D. Stepanov 《Proceedings of the American Mathematical Society》2008,136(5):1589-1597
For a weight function generating the classical Jacobi polynomials, the sharp double estimate of the distance from the subspace of all polynomials of an arbitrary fixed order is established.
16.
拟变分不等式解集的极小本质集及应用 总被引:1,自引:0,他引:1
引入了拟变分不等式解集的极小本质集的概念,并证明了每个拟变分不等式(满足一定条件)的解集至少存在一个极小本质集.作为应用,还证明了大多数(在Baire分类意义下)拟-似变分不等式问题的解集是稳定的;每个拟-似变分不等式(满足一定条件)的解集至少存在一个本质连通区. 相似文献
17.
The purpose of this paper is to estimate the approximate solutions for variational inequalities. In terms of estimate functions,
we establish some estimates of the sizes of the approximate solutions from outside and inside respectively. By considering
the behaviors of estimate functions, we give some characterizations of the well-posedness for variational inequalities.
This work was partially supported by the Basic and Applied Research Projection of Sichuan Province (05JY029-009-1) and the
National Natural Science Foundation of China (10671135). 相似文献
18.
Senjo Shimizu 《Mathematical Methods in the Applied Sciences》2004,27(5):519-543
We obtain an inner and an outer estimates of wave front sets and analytic wave front sets of the Riemann function of elastic interface problems by using the localization method due to Wakabayashi. In our problem the outer estimate of wave front sets and analytic wave front sets of the Riemann function coincides with the inner estimate of those. The strong point of our results is to catch the lateral wave as well as the incident, the reflected, and the refracted waves. Copyright © 2004 John Wiley & Sons, Ltd. 相似文献
19.
We obtain a new version of the minimax inequality of Ky Fan. As an application, an existence result for the generalized variational
inequality problem with set-valued mappings defined on noncompact sets in Hausdorff topological vector spaces is given. Also,
some existence results for the generalized variational inequality problem for quasimonotone and pseudomonotone mappings are
obtained.
Dedicated to the memory of T. Rapcsák. 相似文献
20.
Thispaperiscontinuationsof[1],westilltousemarksandtermsin[1]andtheothertermsagreewith[2]and[3].LetEandFbetwoHausdorfftopologicalvectorspaces,XE,YFbetwononemptysets,FbethedualspaceofF,A:X→2YandB:Y→2Fbetwoset-valuedmapping,T:Y→Xbeinvertible.Inthisp… 相似文献