Locccal splmes are presented far the approximation of functions of one and many variables,which are ana-lytic in the domams where Ui(zi) is a unit disk in the complex plane Ci,i=1,2,...l,l=1,2,...Results arc given for...Locccal splmes are presented far the approximation of functions of one and many variables,which are ana-lytic in the domams where Ui(zi) is a unit disk in the complex plane Ci,i=1,2,...l,l=1,2,...Results arc given for functions whose r-order derivatives belong to the Hardy's class Hp,1≤p≤∞,It isshown that the approximation converge to the function at the rate Aexp(-Cn(r-1/p)for functions of one variable and An-(r-1/p)/(I-1) for functions of l variables,where n is the number of points of local splines and A and C are positrve constants.展开更多
基金This work was supported by Russian Foundation of Fundumental Inverstigations
文摘Locccal splmes are presented far the approximation of functions of one and many variables,which are ana-lytic in the domams where Ui(zi) is a unit disk in the complex plane Ci,i=1,2,...l,l=1,2,...Results arc given for functions whose r-order derivatives belong to the Hardy's class Hp,1≤p≤∞,It isshown that the approximation converge to the function at the rate Aexp(-Cn(r-1/p)for functions of one variable and An-(r-1/p)/(I-1) for functions of l variables,where n is the number of points of local splines and A and C are positrve constants.
