INTERPOLATION SOLUTION TO A BOUNDARY VALUE PROBLEM OF HARMONIC FIELD

被引:0
作者
涂天亮 [1 ]
莫炯 [2 ]
机构
[1] College of Mathematics and Informatics,North China Institute of Water Conservancy and Hydroelectric Power
[2] College of Physics,Zhengzhou University
关键词
Harmonic interpolation approximation; perturbed Fejr points; stable order of approximate; boundary restriction condition;
D O I
暂无
中图分类号
O175.8 [边值问题];
学科分类号
070104 ;
摘要
This article is a improvement on author’s early work (Acta Mathematica Scientia, Vol.30 No.2 Ser.A 2010). In this article, there are two new contributions: 1) The restrictive conditions on approximation domain boundary is improved essentially. 2) The Fejr points is extended by perturbed Fejr points with stable order of approximation.
引用
收藏
页码:321 / 332
页数:12
相关论文
共 8 条
[1]   扰动Fejr点上复Hermite插值的联合逼近 [J].
涂天亮 .
中国科学:数学, 2010, 40 (04) :349-366
[2]   插值逼近具边界数据的调和函数 [J].
涂天亮 ;
莫炯 .
数学物理学报, 2010, 30 (02) :397-404
[3]   复域中扰动Fejer点上Hermite-Fejer插值逼近的稳定性 [J].
涂天亮 ;
邓继恩 .
数学学报, 2010, 53 (02) :393-408
[4]  
Jackson type theorems on complex curves[J]. TU TianLiang Deptartment of Mathematics and Informatics, North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011, China. Science in China(Series A:Mathematics). 2009(03)
[5]   渐近单位根上的 Lagrange 插值多项式的逼近阶 [J].
沈燮昌 ;
帅斌鹏 .
数学杂志, 1991, (03) :287-297
[6]  
The Simultaneous Approximation Order by Hermite Interpolation in a Smooth Domain[J] . Tian Liang Tu. Acta Mathematica Sinica, English Series . 2002 (4)
[7]  
L?sung des Dirichlet-Problems bei Jordangebieten mit analytischem Rand durch Interpolation[J] . Klaus Menke. Monatshefte für Mathematik . 1975 (4)
[8]  
Transfinite diameter and harmonic polynomial interpolation[J] . J. H. Curtiss. Journal d’Analyse Mathématique . 1969 (1)