In this paper,based on classical Korovkin theorem on convergence of positive linear operators,a Korovkin type theorem and more convenient conditions are obtained.
从经典线性正算子收敛的柯洛夫金定理出发,建立了适用范围更广的关于闭区间上连续函数的柯洛夫金定理。
By using of the method of multiplier-enlargement,this paper discusses the asymptotic estimation of approximation of multivariate unbounded continuous functions with positive linear operators,and gives general asymptotic formulae.
利用扩展乘数法讨论了多元线性正算子改造为逼近多元无界连续函数的渐近估计 ,给出了具有一般性的渐近公式 作为实例 ,研究了多元非乘积型的Landau多项式算子逼近多元无界连续函数的渐近估计式 ,推广了前人的若干结
By applying the classical appropriate functions 1, x x2 to the method of multiplier- enlargement, this paper established a certain theorem to approximate any unbounded continuous functions by modified positive linear operators.
将经典“试探函数组”１，ｘ，ｘ２应用于扩展乘数法；建立了一个判别线性正算子能否改造为逼近任意无界连续函数的充要条件。
The Korovkin theorems on convergence of positive linear operators are well-known ones of approximation theory of functions.
关于线性正算子收敛性方面的Ｋｏｒｏｖｋｉｎ定理是函数逼近论的著名定理。
The saturation of a class of linear positive operators in Besov spaces is studied.
讨论了一类线性正算子在Besov空间中的饱和
In this paper,we introduce new sequence of positive linear operators,which preserve x2 and converge each continuous function on [0,∞).
给出一类新的正线性算子序列,它具有保持x2不变的特性,并且关于[0,∞)上的连续函数收敛。
The degree of approximation of uniform bounds positive linear operators in Lψ spaces is studied.
研究一类与Lp空间相关的Banach空间Lψ中的一致有界正线性算子列的逼近阶,得到了相应的Ko-rovkin量化定理。
A necessary and sufficient condition for the direct theorem of the derivatives of positive linear operators is given.
给出了正线性算子导数正定理成立的充要条件，并证明了逆定理。
The iterative approximation of a new sequence of linear positive operators is studied.
讨论了一列新的正线性算子的迭代组合,得到了其渐近公式和一个关于高阶光滑模的误差估计,从而改善了文献中已有的结果。
The Degree of Approximation by the Sequence of Positive Linear Operators in Orlicz Spaces;
线性正算子序列在Orlicz空间的逼近阶
The Approximation and Weighted Approximation for Some Positive Linear Operators;
若干正线性算子的逼近及其加权逼近
Approximation by a Linear Combination of Modified Baskakov-Durrmeyer Operators;
修正的Baskakov-Durrmeyer算子线性组合的逼近
Existence ofPositive Solutions for a Class Fourth-order Operator Boundary Value Problems;
一类非线性四阶算子方程正解的存在性
Uniform Approximation by a Linear Combination of Modified Szász-Mirakjan Operators;
修正的Szász-Mirakjan算子的线性组合的一致逼近
Partial Regularity of Quasi-linear Elliptic Systems with Discontinuous Coefficients and Green Function of A-harmonic Operators;
具间断系数拟线性椭圆组的部分正则性和A-调和算子的Green函数
THE INVERSE-POSITIVITY OF A NONLINEAR DIFFERENTIAL OPERATOR WITH THE NEUMANN BOUNDARY CONDITION
UND带Neumann边值条件的非线性微分算子逆的正性(英文)
MOORE-PENROSE HOMOGENOUS OPERATOR IN MULTIVALUED LINEAR OPERATOR
多值线性算子的Moore-Penrose齐性算子部分
Aluthge transforms of essentially normal operators
本性正规算子的Aluthge变换
A Regularized Homotopy-Extension Method for Nonlinear Ill-Posed Operation Equation;
非线性不适定算子方程的正则同伦延拓方法研究
The Equivalent Theorem of Saturation for Positive Linear Convolution Periodic Operators in Space;
正线性周期卷积算子在Lp_(2π)~p空间中的饱和等价定理
Perturbation Analysis for the Moore-Penores Inverse of Closed Linear Operators in Hilbert Spaces
Hilbert空间中稠定闭线性算子的Moore-Penrose正交广义逆的扰动
Triple Positive Solutions for Multi-point Boundary Value Problems with One-dimensional p-Laplacian on the Half-line
p-Laplacian算子方程在射线上多点边值问题三个正解的存在性
t linear unbiased estimator
最优线性无偏估算子
LITWEQ operator
线性变换波动方程算子
completely continuous compact linear operator
完全连续紧线性算子
The Calculation of the Boltzmann Bilinear Operator for Maxwellian Molecules of Gas-Mixture;
混合气体Maxwell分子双线性Boltzmann算子的计算
The Pseudo-inverse Operators of Linear Operators in Hilbert Space and Its Applications
Hilbert空间中线性算子的伪逆算子及应用