Convergence in measure of logarithmic means of quadratical partial sums of double Walsh-Fourier series

The main aim of this paper is to prove that the logarithmic means of quadratical partial sums of the double Walsh-Fourier series does not improve the convergence in measure. In other words, we prove that for any Orlicz space, which is not a subspace of LlnL(I²), the set of the functions having logarithmic means of quadratical partial sums of the double Walsh-Fourier series convergent in measure is of first Baire category.     

我国水路货运量短期预测模型

本文对我国逐月水路货运量进行了趋势、季节分析，并利用时间序列分析方法建立了简单、实用的短期预测模型。     

双重时序AR—MA模型的高价平稳性

本文讨论双重时序AR－MA模型的高价（4阶，8阶及一般2m阶）平稳解存在的充分条件，这些结论对建立模型参数的矩估计及讨论估计量的渐近性质都是必不可少的．     

Factors for ¦N,pn;δ¦k summability of Fourier series

In this paper two theorems on | N,p_n;δ|_k summability factors, which generalize the results of Bor [4] on | N,p_n|k summability factors, have been proved.     

Nonlinear waves in two-dimensions generated by variable pressure acting on the free surface of a heavy liquid

The development of nonlinear waves on the free surface of a heavy liquid initially at rest is treated analytically in cases where the external pressure force of limited power is distributed over a large area in the free surface but is otherwise arbitrary. In [1] approximate (up to small terms of higher order) solution of the problem is obtained in the form of functional series. In the present article the convergence theorems for the series are proved. When the pressure varies with time sinusoidally, the sums of the series are found in closed form. By passing to the limit in the solution as time goes to infinity, the form of the nonlinear steady-state wave is found. According to the solution, when the steady-state wave gets away from the variable pressure zone, a long chain of structures develops similar to so called Kelvin-Helmholtz billows. The existence of nonlinear standing waves is discovered, which have a finite number of nodes in the free surface infinite in extent, and the frequency spectrum and the form of these waves are found explicitly.     

关于二重三角级数的有关讨论

文 [1 ]对形如 ∑∞n =0 ∑∞m =0amncosmxcosny等二重三角级数的和函数进行了研究 ,并证明了其范数‖f(x ,y)‖ p =∫π-π∫π-π｜f(x ,y) ｜p1 dx p2 /p1 dy1/p2 <∞所满足的几个不等式 .本文在此基础上对有关问题作了讨论并得到进一步的结果     

On the absolute<Emphasis Type="Italic">N</Emphasis><Subscript>qα</Subscript>-summability of<Emphasis Type="Italic">r</Emphasis>th derived conjugate series

The object of the present paper is to study the absoluteN _qα-summability of rth derived conjugate series generalizing a known result.     

加权Hilbert不等式的一个改进

本文通过引入一个适当的非零实数R_ω得到了加权Hilbert不等式的一个改进,并且利用Gram矩阵的正定性给出了R_ω的具体表达式。     

An Expression for the Superposition of General Algebraic Functions in Terms of Hypergeometric Series

We show that the superposition of general algebraic functions is representable as a ratio of hypergeometric series.     

高效液相色谱中同系物保留值收敛现象的研究

在讨论影响溶质保留行为因素的基础上，建立了描述同系物保留值收敛现象的一般模型，对12种同系物（共38组数据）在6种不同组成的二元流动相和8种固定相中的保留值进行了回归分析，相关系数r≥0．974，标准偏差SD≤0．05．绘制了这些同系物的三维保留图形及投影图，并据此对同系物收敛现象及其物理意义进行了讨论，建立了计算收敛点坐标的简便方法．