UNIFORM CONVERGENCE OF HERMITE INTERPOLATION OF HIGHER ORDER
UNIFORM CONVERGENCE OF HERMITE INTERPOLATION OF HIGHER ORDER
摘要
In this paper the uniform convergence of Hermite-Fejer interpolation and Griinwald type theorem of higher order on an arbitrary system of nodes are presented.
In this paper the uniform convergence of Hermite-Fejer interpolation and Griinwald type theorem of higher order on an arbitrary system of nodes are presented.
基金
Project 2921200 Supported by National Natural Science Foundation of China.
参考文献7
-
1G. Grunwald, On the theory of interpolation. Aeta Math. Hungar., 75(1942), 219-245.
-
2S. Karlin and W. J. Studden, Tchebycheff Systems with Applications in Analysis and Statistics ,Wiley-Interscience, New York, 1966.
-
3Y. G. Shi, Mean convergence of truncated Hermite interpolation on an arbitrary system of nodes,Acta Math. Hungar., 76(1997), 45-58.
-
4Y. G. Shi, On Hermite interpolation, J. Approx. Theory., 105(2000), 49-86.
-
5Y. G. Shi, Mean convergence of Lagarange type interpolation on an arbitrary system of nodes,Submitted to Acta Math. Appl. Sinica.
-
6J. Szabados, On the order of magnitude of fundamental polynomials of Hermite interpolation, Acta Math. Hungar., 61(1993), 357-368.
-
7P. Vertesi, Practically ρ-Normal point systems, Acta Math. Hungar., 67(1995), 251-277.
-
1谢四清.在π_n(x)零点上的(0,1,3)插值[J].Journal of Mathematical Research and Exposition,2001,21(2):287-294.
-
2王子玉,田继善.高阶拟Hermite-Fejer插值的一致收敛性[J].科学通报,1993,38(13):1165-1171. 被引量:1
-
3Jichun Li,Yitung Chen.Uniform Convergence Analysis for Singularly Perturbed Elliptic Problems with Parabolic Layers[J].Numerical Mathematics(Theory,Methods and Applications),2008,1(2):138-149. 被引量:2
-
4史应光.TRUNCATED HERMITE INTERPOLATION ON AN ARBITRARY SYSTEM OF NODES[J].Acta Mathematica Scientia,2001,21(1):9-20. 被引量:1
-
5许贵桥,刘洋.Hermite-Fejér插值在一重积分Wiener空间下的平均误差[J].应用数学学报,2016,39(6):823-831. 被引量:2
-
6韩领兄.修正的Hermite-Fejer插值在L_(M,ω)^(Ba)空间中的逼近[J].内蒙古师范大学学报(自然科学汉文版),2007,36(4):432-435.
-
7文晓霞.一类反周期函数的双周期插值问题[J].宁夏大学学报(自然科学版),2011,32(1):15-17. 被引量:3
-
8文晓霞.一类反周期函数的双周期缺项插值问题[J].江西师范大学学报(自然科学版),2014,38(1):62-64. 被引量:3
-
9陈怀海,许锋,彭江水.用幂基多项式拟合频响函数的几点技巧[J].振动工程学报,2001,14(1):122-124. 被引量:4
-
10孙燮华.关于Laguerre节点系的Hermite-Fejer插值[J].中国计量学院学报,1998,9(2):23-35.