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对于复域中满足某种条件的Jordan区域D和函数f∈B(D),证明了基于Fejer点的高阶Fejer插值多项式一致收敛于对应的函数f(z)于D上.本文中的这些定理推广了某些已知的结果. 相似文献
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N-B级数的Fejer和的渐近公式(英文) 总被引:2,自引:0,他引:2
设f(z)是单位圆周Г上的有界变差函数,且它的两个单侧导数在点z0∈Г存在,本文给出它的N-B级数的Fejer和在z0处的渐近公式. 相似文献
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Ushangi Goginava 《数学学报(英文版)》2011,27(10):1949-1958
The main aim of this paper is to prove that for any 0 < p ≤ 2/3 there exists a martingale f ∈ H
p
such that Marcinkiewicz-Fejér means of the two-dimensional conjugate Walsh-Fourier series of the martingale f is not uniformly bounded in the space L
p
. 相似文献
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Gyrgy GT 《数学学报(英文版)》2014,30(2):311-322
The aim of this paper is to prove the a.e.convergence of sequences of the Cesa`ro and Riesz means of the Walsh–Fourier series of d variable integrable functions.That is,let a=(a1,...,ad):N→Nd(d∈P)such that aj(n+1)≥δsupk≤n aj(k)(j=1,...,d,n∈N)for someδ0 and a1(+∞)=···=ad(+∞)=+∞.Then,for each integrable function f∈L1(Id),we have the a.e.relation for the Ces`aro means limn→∞σαa(n)f=f and for the Riesz means limn→∞σα,γa(n)f=f for any 0αj≤1≤γj(j=1,...,d).A straightforward consequence of our result is the so-called cone restricted a.e.convergence of the multidimensional Ces`aro and Riesz means of integrable functions,which was proved earlier by Weisz. 相似文献
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对于复域中满足某种条件的 Jordan区域 D和函数 f∈B(D),证明了基于 Fejér点的高阶Fejér插值多项式一致收敛于对应的函数f(z)于D上。本文中的这些定理推广了某些已知的结果. 相似文献
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E. A. Nurminski 《Computational Mathematics and Mathematical Physics》2008,48(12):2154-2161
The behavior of Fejer processes with diminishing disturbances generated by a small shift in the argument of the Fejer operator is studied. It is shown that, if the operator is locally strongly Fejer, a diminishing disturbance does not prevent convergence to an attracting set. At the same time, such a disturbance can be used to furnish the process with additional properties that ensure convergence to certain subsets of the attracting set. In particular, based on this scheme, new parallel decomposition methods for optimization problems can be suggested that do not require that the constraints possess a specific structure. 相似文献
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高等数学和大学物理是高校理工类学生非常重要的公共基础课.在传统教学中高等数学通常作为工具来帮助解决大学物理问题,而运用大学物理学知识去解决高等数学问题却很少关注.探讨如何把两者的教学结合起来,对培养学生创新思维具有十分重要的意义.本文基于一维无穷电阻网的物理模型,推导出了一维无穷电阻网络等效电阻的解析解,并给出了求解Fejer积分的一种新的物理方法,体现了数理结合的思想. 相似文献
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We study the growth of the sum of the entire Dirichlet series with Fejer gaps on the real axis and establish some most general unimprovable estimates. 相似文献
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Gyorgy Gdt 《分析论及其应用》2003,19(1):55-75
The aim of this paper is to prove the following theorem concerning the term by term differentiation the-orem of Walsh-Kaczmarz series. Let (ck) be a decreasing real sequence withare integrable functions and f(x) is a. e. dyadic (or Butzer and Wagner) differentiate withThe function Kk means the kth Walsh-Kaczmarz function. 相似文献