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1)  weighted simultaneous approximation
带权同时逼近
1.
Strong converse inequalities for weighted simultaneous approximation by Post-Widder operators in the space L_p;
L_p空间中Post-Widder算子带权同时逼近的强逆不等式
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)  f-simultaneous approximation
f-同时逼近
4)  weighted mean approximation
带权平均逼近
1.
By using those functions, the weighted mean approximation of biorthogonal rational function system is studied, and we obtain the theorem of the weighted mean approximation of biorthogonal rational fuction system.
通过这类函数研究了双正交有理函数系的带权平均逼近,并获得了双正交有理函数系的带权平均逼近定
5)  Chebyshey approximation with weight
带权的Chebyshev逼近
6)  the best l1-simultaneous approximation
最佳l1-同时逼近
1.
Firstly, the paper gives two characteristics of the best l1-simultaneous approximation from sunset in terms of the Kolmogorov Criterion and one-sided Gateaux derivative; secondly, it gives the following theorem: G is sunset if and only if g0 is the best l1-simultaneous approximation to x1 and x2 from G g0 and x1,x2 satisfy the Kolmogorov Criterion with respect to G.
利用Kolmogorov条件和单侧Gateaux导数给出太阳集上最佳l1-同时逼近的两个特征定理,且进一步得出G是太阳集等价于g0是G对x1,x2的最佳l1-同时逼近 g0和x1,x2关于G满足Kolmogorov条件。
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