关于二元三次复插值样条函数

关于二元三次复插值样条函数 ON THE INTERPOLATING COMPLEX CUBIC SPLINES OF TWO VARIABLES 王小林 Wang Xiaolin 1 first-author 武汉大学数学系 武汉大学数学系 Department of Mathematics,Wuhan University Department of Mathematics,Wuhan University 本文给出了定义于两条光滑封闭曲线上的二元三次复插值样条的构造,讨论了唯一性和收敛性.作为应用举例,考虑了关于二元复连续函数的近似求积公式及其误差估计. In this paper,we discuss the interpolating complex cubic splines defined on two smooth closed curves,give their exapressions,prove their properties of unigueness and convergence.Using these we establish the formula of approximation intergration of contivuous complex-valued functions of two variables give the estimations of approximate error. B—样条 二元三次复样条函数 求积公式 B-splines complex cubic splines of two variables Quadrature Formula O174.41 中国科学院科学基金资助的课题 1993-04-01 2021-04-01 4