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1.
This paper gives the degree of approximation of function of bounded variation by the partial sums of con-jngate Legendre-Fourier Series.  相似文献   

2.
Let H be a hexagonal system.The Z-transformation graph Z(H) is a graph where the vertices are perfect matchings of H and where two perfect matchings are joined by an edge provided their symmetric difference consists of six edges of a hexagon of H. We prove that the connectivity of Z(H) is equal to the minimum degree of vertices of Z(H).  相似文献   

3.
庄圻泰 《数学学报》1937,2(1):21-39
<正> ⅠNTRODUCTIONIn 1896,Borel established the well known theorem relative tothe distribution of moduli of values for an integral function f(z) offinlite positive order O“The exponent of convergence of the moduliof the zeros of f(z)-α is equal to Q for every constant α exceptpossiibly one value of α at most.”Afterwards he proved a moregeneral theorem in replacing a by an integral function π(z) of orderless than o. Concerning the distribution of argulnents o[" values fora meromorphic fumctionf(z) of finite positive order, Viliron discoveredin 1929 the existence of what he called “direction of Borel” and  相似文献   

4.
A NEW CHARACTERIZATION OF THE CLOSEDNESS OF THE SUM OF TWO SUBSPACES   总被引:1,自引:0,他引:1  
In this article, a new characterization of the closedness of the sum of two closed subspaces of a Hilbert space is established.  相似文献   

5.
This paper studies a class of Hille equation. A formula for solutions of a class of Hille equation is given. Under some suitable conditions the oscillation and nonoscillation of a class of Hille equation are established. Our results generalize the known Hille's ones.  相似文献   

6.
DENSITY OF INTEGERS THAT ARE THE SUM OF FOUR CUBES OF PRIME   总被引:2,自引:0,他引:2  
gi. IntroductionIt is conjectured that all sufficielltly large integers e satisfying some necessaly congruenceconditions are the sum of four cubes of primes, i.e.(see e.g. [1]). Such a strong conjecture is out of reach at present; but it is reasonable, inview of the following results of Hua and Davenport respectively. A theorem of Hua[3'4] statesthst almost all positive integers, with t * 0, 12(mod 9) are the sum of five cubes of praies,while DavenPOrt's result in 12] asserts that almost all…  相似文献   

7.
The purpose of this paper is to display a new kind of simple graphs which belong to B. inwhich any graph has its orientable genus n,n≥3. Furthermore, for any integer k,1≤k≤n,there exists a graph B^kn of B. such that the non-orientable genus of B^kn is k.  相似文献   

8.
Abstract. In this paper, we introduce a new approach to characterize the isomor-phisms of circulant digraphs. In terms of this method, we completely determine the isomorphic classes of circulant digraphs of degree 3. In psrticular, we characterize those circulant digraphs of degree 3 which don‘‘t satisfy JkdAm‘‘s conjectttre.  相似文献   

9.
PROPERTIES OF FRACTIONAL k-FACTORS OF GRAPHS   总被引:1,自引:0,他引:1  
In this paper the properties of some maximum fractional [0, k]-factors of graphs are presented. And consequently some results on fractional matchings and fractional 1-factors are generalized and a characterization of fractional k-factors is obtained.  相似文献   

10.
This article develops some extremes of the ratios of determinants. The results are themultivariate extensions of the extremes of quadratic forms, and can be applied to finding thecanonicai correlation variables of two random vectors. Hence a group of canonical correlationvariables is a solution of the extreme of the ratio of determinants.  相似文献   

11.
本文研究了近似连续C-可积函数的原函数问题.利用近似连续C-积分的有关性质,得到了函数近似C-可积的一个充分必要条件,推广了B.Bongiorno等人的工作.  相似文献   

12.
The authors study the Nehari family Nb and obtain some important properties for this family.  相似文献   

13.
本文研究了二进求导极大算子的有界性.利用狄利克雷核的重要性质,构造了反例证明此极大算子在一维和二维情况下都不是从Hardy空间Hp到Hardy空间Hp有界的,其中0相似文献   

14.
肖俊  俞晓红  张传洲 《数学杂志》2011,31(4):659-664
本文研究了r阶二进求导极大算子的有界性.利用Dirichlet核的性质证明了此极大算子在一维和d维情况下都不是从Hardy空间Hp到Hardy空间Hp有界的,其中0相似文献   

15.
本文研究了单位球上μ-Bloch空间.利用径向导数和梯度的基本性质,我们获得了μ-Bloch空间的Holland-Walsh型刻画,推广了单位圆盘和单位球上的已有的一些结论.同时,得到了小μ-Bloch空间的相应特征.  相似文献   

16.
朱健民 《数学杂志》1999,19(3):304-308
设F(z)为Hilbert空间上的半平面HC到HC的全纯映照,本文我们研究保证F(Z)的角导数存在的条件,在「3」中定理相同的假设下我们得到了更强的结论。  相似文献   

17.
Derivatives of eigenvalues and eigenvectors with respect to parameters in symmetric quadratic eigenvalue problem are studied. The first and second order derivatives of eigenpairs are given. The derivatives are calculated in terms of the eigenvalues and eigenvectors of the quadratic eigenvalue problem, and the use of state space representation is avoided, hence the cost of computation is greatly reduced. The efficiency of the presented method is demonstrated by considering a spring-mass-damper system.  相似文献   

18.
再论求导数零点的二次收敛迭代法   总被引:3,自引:0,他引:3  
王兴华  李冲 《计算数学》2001,23(1):121-128
一维搜索是最优化理论数值计算的一个基本问题,它可归结为求定义在开凸区域D上的可微函数 f的导数零点.若用 Newton法求导数零点,则涉及到二阶导数的计算.若用带导数的三次插值法则需要开平方的计算[1].为了克服上述问题,本文作者之一在 1979年[2]首次提出了下述具有二阶收敛速度的迭代法:通常,我们称迭代法(0.1)为基于信息集(f(xn),f’(xn),f(xn-1),f’(xn-1)}的迭代法,而δ(fxy)是基于信息集{f(x),f'(x),f(y),F'(y))}的三次插值多项式在x处…  相似文献   

19.
肖俊  俞晓红  张学英 《数学杂志》2012,32(3):455-460
本文研究了p-级数域的特征系统的r阶二进求导极大算子的有界性.利用狄利克雷核的重要性质,构造了反例证明此极大算子在d维情况下不是从Hardy空间Hq到Hardy空间Hq有界的,其中0相似文献   

20.
《分析论及其应用》2012,28(2):135-145
In the present paper, we obtain estimations of convergence rate derivatives of the q-Bernstein polynomials Bn (f, qn ; x) approximating to f ′ (x) asn →∞, which is a generalization of that relating the classical case qn = 1. On the other hand, we study the convergence properties of derivatives of the limit q-Bernstein operators B ∞ (f, q; x) as q → 1- .  相似文献   

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