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排序方式: 共有211条查询结果,搜索用时 203 毫秒
201.
There is introduced a modificated local modulus of continuity as a measure of pointwise strong summability of expansion with
respect to polynomial-like orthonormal system. The approximation versions and generalizations of the some special cases of
the known results of K. Tandori [6], [7] and G. Freud [4] are obtained. 相似文献
202.
We prove the existence of fixed points of asymptotic pointwise nonexpansive mappings in modular function spaces. 相似文献
203.
In this paper, we study the linear thermo-visco-elastic system in one-dimensional space variable. The mathematical model is a hyperbolic-parabolic partial differential system. The solutions of the system show some decay property due to the parabolicity. Based on detailed analysis on the Green function of the system, the pointwise estimates of the solutions are obtained, from which the generalized Huygens’ principle is shown. 相似文献
204.
205.
Dmitriy Leykekhman. 《Mathematics of Computation》2008,77(261):21-39
Consider the problem with homogeneous Neumann boundary condition in a bounded smooth domain in . The whole range is treated. The Galerkin finite element method is used on a globally quasi-uniform mesh of size ; the mesh is fixed and independent of .
A precise analysis of how the error at each point depends on and is presented. As an application, first order error estimates in , which are uniform with respect to , are given.
206.
A singularly perturbed reaction-diffusion equation is posed in a two-dimensional -shaped domain subject to a continuous Dirchlet boundary condition. Its solutions are in the Hölder space and typically exhibit boundary layers and corner singularities. The problem is discretized on a tensor-product Shishkin mesh that is further refined in a neighboorhood of the vertex of angle . We establish almost second-order convergence of our numerical method in the discrete maximum norm, uniformly in the small diffusion parameter. Numerical results are presented that support our theoretical error estimate.
207.
208.
Michael T. Lacey Xiaochun Li 《Transactions of the American Mathematical Society》2006,358(9):4099-4117
For a Schwartz function on the plane and a non-zero define the Hilbert transform of in the direction to be
p.v.
Let be a Schwartz function with frequency support in the annulus , and . We prove that the maximal operator maps into weak , and into for . The estimate is sharp. The method of proof is based upon techniques related to the pointwise convergence of Fourier series. Indeed, our main theorem implies this result on Fourier series. 209.
Zhijian Qiu 《数学学报(英文版)》2009,25(7):1217-1222
Let G be an open subset in the extended complex plane and let A(G) denote the algebra of all functions analytic on G and continuous on G. We call a domain multi-nicely connected if there is a circular domain W and a conformal map ~ from W onto G such that the boundary value function of φ is univalent almost everywhere with respect to the arclength on aW. Suppose that every component of G is finitely connected and none of the components of G have single point boundary components. We show that for every bounded analytic function on G to be the pointwise limit of a bounded sequence of functions in A(G), it is necessary and sufficient that each component of G is multi-nicely connected and the harmonic measures of G are mutually singular. This generalizes the corresponding result of Davie for the case when the components of G are simply connected. 相似文献
210.
Li Wenxia 《数学物理学报(B辑英文版)》1999,19(2):214-219
Let C be the Cantor triadic set and let Cα=C+α={β+α: β∈C} for -1≤α≤ 1. Let Hp={α∈C: dim H(Cα∩C)=dim B(C α∩C)=(1-p)log 2/log 3}, 0< p< 1. The authors give the dimensions of C α∩C and Hp. In additionthe characteristic of Hp is described by means of some measure μ supported on C. 相似文献