1) pointwise approximation order
点态逼近阶
1.
A rational type interpolatory polynomial with Hermite-Fejer properties and based on the second kind of Chebyshev nodes has been studied and, its convergence and pointwise approximation order has been given also.
研究了一种基于第二类Chebyshev多项式零点的具有Hermite-Fejér性质的有理型插值问题,给出了它的收敛性及精确的点态逼近阶。
2) pointwise approximation
点态逼近
1.
A kind of weighted pointwise approximation direct and inverse theorem of unbounded continuous functions;
无界函数加权的点态逼近等价定理
2.
Pointwise Approximation on Baskakov Type Operators;
Baskakov型算子的点态逼近
3.
The purpose is to use the moduli of smoothness ωrφλ(f,t)(0≤λ≤1),to get the results of pointwise approximation equivalent theorem for the combinations of modified Baskakov-Durrmeyer operators.
利用ωrφλ(f,t)(0≤λ≤1),研究了修正的Baskakov型算子线性组合的点态逼近等价定理,得到一般性结果。
6) degree of approximation
逼近阶
1.
In this paper we introduce S-B-B operators and study its Convergence and degree of approximation.
本文引入Ｓｉｋｋｅｍａ－Ｂｅｒｎｓｔｅｉｎ－Ｂéｚｉｅｒ算子，并研究其收敛性和逼近
2.
In this paper,a new type of Kantorovich operator was constructed,and the convergence and degree of approximation of this operator in Orlicz spaces were discussed.
构造了一类新型的Kantorovich算子,讨论了该算子在Orlicz空间内的收敛性与逼近阶的估计问题。
3.
A class of two dimension Meyer - Konig and Zeller Opcrators is constructed, and its degree of approximation and direct theorem on continuous function space and a class of interpolation space are obtained.
构造了一类二维Meyer－KonigandZeller算子，并得到了它关于连续函数空间和一类插补空间的逼近阶和直接定理。
补充资料：逼近阶
逼近阶
approximation order
逼近阶!aPp印xim拓佣耐er;.酬山~.州阳皿，} 逼近误差的阶，它作为一个变量依赖于某个连续的或离散的变量:，而:又与另一变量甲(T)相关，甲闰的性态通常假定是已知的‘一般地，:是一个参量，它表示逼近集的数值特征(如集合的大小)或逼近方法的数值特征(如插值步骤).此外，:值所组成的集可能有一个有穷或无限的极限奴.函数价(动常常是一个幂函数，指数函数或对数函数.被逼近函数(或它的某个导数)的连续模(modulusof①ntinulty)或其控制函数可看作价介) 逼近方法的性质及被逼近对象的性质(例如，被逼近函数的差分微分性质)确定了逼近阶，见函数通近，正定理和逆定理(approximation of funCtions，direCtand inverse theoren一s). 在数值分析中，如果某个数值方法产生的误差为口(h勺，则称指数。为其逼近阶，其中h为此方法所采用的步长.
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参考词条