共查询到20条相似文献,搜索用时 9 毫秒
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We answer two problems posed by H. S. Shapiro in [1], and weshow that, in general, there is no equivalence between the Cauchyproblem for entire functions and the one for exponential typefunctions. We characterize some situations for which the equivalenceholds. 相似文献
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Ukrainian Mathematical Journal - We present a brief survey of works in the approximation theory of functions known to the author and connected with V. K. Dzyadyk’s research works. 相似文献
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Rong AN Yuan LI Kai-tai LI College of Mathematics Information Science Wenzhou University Wenzhou China School of Science Xi’an Jiaotong University Xi’an China 《应用数学学报(英文版)》2011,(4)
In this paper,the fundamental solution of rotating generalized Stokes problem in R 3 is established.To obtain it,some fundamental solutions of other problems also are established,such as generalized Laplace problem,generalized Stokes problem and rotating Stokes problem. 相似文献
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本文给出Heilbronn型问题的结果.设S是R~3中六点组成的集合.直径为D.若d表示S中任意两点距离的最小值,则D≥2d.等号当且仅当S是由正八面体的六个顶点或多面体面△×△1的六个顶点组成时才成立(△1,△2分别表示一维、二维正则单形,且其棱长相等). 相似文献
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R~3中的一个Heilbronn型问题 总被引:4,自引:1,他引:3
本文给出Heilbronn型问题的结果.设S是R~3中六点组成的集合.直径为D.若d表示S中任意两点距离的最小值,则D≥2d.等号当且仅当S是由正八面体的六个顶点或多面体面△×△1的六个顶点组成时才成立(△1,△2分别表示一维、二维正则单形,且其棱长相等). 相似文献
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Translation invariant subspaces in the space of entire functions of exponential type of several complex variables are considered and conditions are presented under which the set of exponential polynomials is dense in such a space. In particular, necessary and sufficient conditions for the polynomial elements to be dense are obtained. 相似文献
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The Approximation Properties of Certain Interpolation Operators of Entire Exponential Type(1) 总被引:1,自引:0,他引:1
In this paper, the authers introduce certain entire exponential type interpolation operatots and study the convergence problem of these operatots in c(R) or Lp(R) (1≤p<∞) 相似文献
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Some estimates on 2-D Euler equations are given when initial vorticity ω0 belongs to a Lorentz space L(2, 1). Then based on these estimates, it is proved that there exist global weak solutions of two dimensional Euler equations when ωo ∈ L(2, 1). 相似文献
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本文研究Cliford分析中广义双正则函数的一个非线性边值问题:A(t1,t2)W++(t1,t2)+B(t1,t2)W+-(t1,t2)+C(t1,t2)W-+(t1,t2)+D(t1,t2)W--(t1,t2)=g(t1,t2)ft1,t2,W++(t1,t2),W+-(t1,t2),W-+(t1,t2),W--(t1,t2)[].先讨论解的积分表示式,再研究几个奇异算子,最后用Schauder不动点原理(压缩映射定理)证明了解的存在性(唯一性).目前还没有见到其它国内外学者研究广义双正则函数的非线性边值问题.本文推广了F.Bracks,W.Pincket[10],LeHuang Son[11],R.P.GilbertandJ.L.Buchnan[15]和黄沙[13]的工作 相似文献
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设SUα(f,x)=∑k∈Zf(xk)Uσ(x-xk),xk=2kπ/σ,k∈Z,σ>0,Uσ(y)=2/σ∫σ0 P(i(σ-x))/P(ix)+P(i(σ-x))cosxydx,其中P(t)=m∑j=1cjtj是常数项为0的m次实系数多项式,m为奇数.本文研究此指数型整插值算子在Holder 度量下的逼近和饱和问题,确定了饱和类和饱和阶. 相似文献
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