2) simultaneous approximation
同时逼近
1.
On the mean convergence of the simultaneous approximation by Hermite interpolation;
关于Hermite插值算子同时逼近的平均收敛性
2.
Pointwise estimate on simultaneous approximation by linear combination of Bernstein operators;
Bernstein算子线性组合同时逼近的点态估计
3.
Equivalence theorem on simultaneous approximation by the linear combination of Bernstein type operators;
Bernstein型算子线性组合的同时逼近等价定理
3) 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。
4) f-simultaneous approximation
f-同时逼近
5) 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。
补充资料：点态收敛
点态收敛
ptintwise convergence
点态收敛【州n俪sec洲erg印ce;n0TO叹e叹Ita.cxo仄“-Moe，r‘」 函数(映射)序列收敛的一种类型.设f。;X，Y(n二1，2，…)，其中X是某集合，Y是拓扑空间(topol卿cal sPace);那么点态收敛意指对任何元素x‘X，点列y。=厂。(x)(n=1，2，…)在空间Y中收敛、对于度量空间(或者更为一般地，一致空问)之间的映射，点态收敛序列有一个重要的子类就是一致收敛序列(见一致收敛(朋饭〕rm convergence))· J’l.口.Ky八p凡B双eB撰【补注】在从X到Y的连续映射空间C(X，y)上，点态收敛的拓扑基可如下得到.取定一个有限集K cx，对每个x‘K，都有Y中包含f(x)的一个开子集;对于给定的厂，其开基邻域是:{g任C(X，Y):g声V、，对所有x〔K}，亦见点态收敛的拓扑)(pointwise eonvergenee，toPology of).
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条