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On the Cardinal Spline Interpolation Corresponding to Infinite Order Differential Operators

On the Cardinal Spline Interpolation Corresponding to Infinite Order Differential Operators

作     者:Chen Dirong Department of Mathematics Beijing Normal University Beijing,100875 and Center for Mathematical Sciences Zhejiang University Hangzhou,310027 China 

作者机构:Department of Mathematics Beijing Normal University Beijing Center for Mathematical Sciences Zhejiang University Hangzhou China 

出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))

年 卷 期:1994年第10卷第3期

页      面:315-324页

核心收录:

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基  金:Supported in part by NSFC 

主  题:Math On the Cardinal Spline Interpolation Corresponding to Infinite Order Differential Operators lim Chen 卜成 

摘      要:This paper discusses some problems on the cardinal spline interpolation correspond- ing to infinite order differential *** remainder formulas and a dual theorem are es- tablished for some convolution classes,where the kernels are PF ***,the exact error of approximation of a convolution class with interpolation cardinal splines is determined. The exact values of average n-Kolmogorov widths are obtained for the convolution class.

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