文章详细信息 关键词： 二元;;三角插值;;收敛阶;;饱和阶 [gap=549]Keywords: bivariate;trigonometric interpolation;convergence order;saturation order
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In chapter one, the problem of the order of convergence for the Fejer-Korovkin singular integral in Ba spaces is studied. Using the K-functional and modulus of smoothness,the upper and lower bounds of the rate of convergence are established.
第一章内主要讨论了Fejer-Korovkin奇异积分在Ba空间内收敛阶的问题,应用K泛函和光滑模方法建立了收敛速度的上界和下界估计。
参考来源 - 若干函数空间内的几个逼近问题·2,447,543篇论文数据，部分数据来源于NoteExpress
通过适当选取正则参数，证明了正则解具有最优的渐近收敛阶。
By apriori choosing regularization parameter, optimal convergence order of the regularized solution is obtained.
经过详细分析，证明了在此种三角网格剖分下h 1范数的收敛阶数仍是最优的。
After some detailed analysis, the optimal order convergence in H1-norm is obtained under this type of triangulation.
推广了迭代算法收敛分析中的Q 收敛阶的概念，据此给出了算法效率的一种一般的度量。
The definition of Q rates of convergence in iterative algorithms is extened and the efficiency measure is developed.
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