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体上右线性方程组的反问题 总被引:1,自引:0,他引:1
设F,K,Ω分别表示一个任意的体、一个具有对合反自同构的体和一个实四元数体,Fn表示F上的n维右向量空间.本文推广和改进了实线性方程组的反问题及一系列结果,解决了F上右线性方程组更具一般性的反问题(简称IPS):给定b∈Fs和αi∈Fn(i=1,…,m≤n)满足rank[α1,…,αm]=m,求所有的s×n矩阵A使Aαi=b(i=1,…,m).当s=n时 相似文献
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α型β级Bazilevic函数的Fekete-Szeg?问题 总被引:14,自引:0,他引:14
设B(α,β)(α>0,0≤β<1)表示在单位圆盘内定义的规范化的α型β级Bazilevic函数类.本文对B(α,β)中函数f(z)=z+∑from∞to(n=2)anzn得到|a3-λa22|(0≤λ≤1)的准确估计. 相似文献
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本文构造出一个以{θk=k/(n+1)π}nk=1为插值节点的f(θ)∈C2π且为奇函数的修正的三角插值多项式Wn(f;r,θ)(r为自然数).Wn(f;r,θ)对每个以2π为周期的奇连续函数都能在全实轴上一致地收敛到f(θ);若f(θ)∈Cj2π(0≤j≤r-1)且是奇的,Wn(f;r,θ)对其收敛阶均达到最 相似文献
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本文证明了下述结论,设A是一个级数为d的Buchsbaum环,(a1,a2,…,an)是A的一个参数系统,则任何正整数n,A/(a1,a2,…,ak)n(1≤k≤d)仍是d-k维的Buchsbaum环. 相似文献
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用算术函数a(n)表示n阶非同构Abel群的个数,令Ak(x)=∑/n≤x/a(n)=k 1,Ak(x;h)=Ak(x+j)-Ak(x)。 相似文献
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设F为有限序列族,对a=(a1,a2,…,an)∈F,ai为整数且0≤ai≤si(整数),记s(a)={j|1≤j≤n,aj>0},s(F)={s(a)|a∈F},及A{1,2,…,n}时W(A)=Пi∈Asi.称F为贪婪t-相交,如对任何a,b∈F,至少有t个ai,bi>0,且W(A)≥W(({1,2,…,n}-A)+B)对任何A∈S(F)及BA(|B|=t-1)成立.本文得到当s1>s2>…>sn时的最大贪婪t-相交有限序列族. 相似文献
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本文结果是:设A是φ-满射环R上的非拟纯量可逆n×n矩阵,βj,γj(1≤j≤n)是R中任意元素,它们满足Πj=1nβjγj=detA,则存在n阶阵B和C满足PAP-1=BC,其中B是下三角阵,C是上三角阵,P∈GLn(R).进一步,可以取B使βj(1≤j≤n)位于B的主对角线上,同时可以取C使γj(1≤j≤n)位于C的主对角线上. 相似文献
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定理1设R是半值环,n为固定的正整数,如果R满足条件:存在依赖于(?)x,y的两个字k(X,Y),t(X,Y),其中|k|X>1,|t|X=1,|k|Y≥|t|Y,|t|Y≤n,使k(x,y)-t(x,y)∈I(R),则R是交换环。定理2设R是半值环,如果R满足条件:存在正整数m=m(x,y)>1,n=n(y),使得(xny)m-x 相似文献
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Kunyang Wang Feng Dai 《分析论及其应用》2007,23(1):50-63
As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years (2001-2005). The main topics are: convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths. 相似文献
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Yuxian Zheng 《分析论及其应用》2006,22(2):136-140
In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p(R^n) into the Lebesgue space L^p with p 〈 1. 相似文献
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H. H. Cuenya M.D. Lorenzo C. N. Rodriguez 《分析论及其应用》2007,23(2):162-170
In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms. 相似文献
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《中国科学 数学(英文版)》2014,(8)
<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by 相似文献
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《计算数学》2014,(2)
<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
17.
W.M.Shah A.Liman 《分析论及其应用》2004,20(1):16-27
Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem. 相似文献
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In this paper, the authors study the boundedness of the operator [μΩ, b], the commutator generated by a function b ∈ Lipβ(Rn)(0 <β≤ 1) and the Marcinkiewicz integrals μΩ, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈ Lipα(Sn-1)(0 <α≤ 1). 相似文献
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Francois Chaplais 《分析论及其应用》2006,22(4):301-318
In applications it is useful to compute the local average empirical statistics on u. A very simple relation exists when of a function f(u) of an input u from the local averages are given by a Haar approximation. The question is to know if it holds for higher order approximation methods. To do so, it is necessary to use approximate product operators defined over linear approximation spaces. These products are characterized by a Strang and Fix like condition. An explicit construction of these product operators is exhibited for piecewise polynomial functions, using Hermite interpolation. The averaging relation which holds for the Haar approximation is then recovered when the product is defined by a two point Hermite interpolation. 相似文献
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A.Al-Shuaibi F.Al-Rawjih 《分析论及其应用》2004,20(1):28-34
Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find an approximation to f(t) by the use of the classical Jacobi polynomials. The main contribution of our work is the development of a new and very effective method to determine the coefficients in the finite series expansion that approximation f(t) in terms of Jacobi polynomials. Some numerical examples are illustrated. 相似文献