The Ill-Posedness of Derivative Interpolation and Regularized Derivative Interpolation for Non-Bandlimited Functions  

作　　者：Weidong Chen Weidong Chen(Department of Mathematics, 460 McBryde Hall, Virginia Tech, Blacksburg, VA, USA)

机构地区：[1]Department of Mathematics, 460 McBryde Hall, Virginia Tech, Blacksburg, VA, USA

出　　处：《Applied Mathematics》2022年第1期87-100,共14页应用数学（英文）

摘　　要：In this paper, the ill-posedness of derivative interpolation is discussed, and a regularized derivative interpolation for non-bandlimited signals is presented. The convergence of the regularized derivative interpolation is studied. The numerical results are given and compared with derivative interpolation using the Tikhonov regularization method. The regularized derivative interpolation in this paper is more accurate in computation.In this paper, the ill-posedness of derivative interpolation is discussed, and a regularized derivative interpolation for non-bandlimited signals is presented. The convergence of the regularized derivative interpolation is studied. The numerical results are given and compared with derivative interpolation using the Tikhonov regularization method. The regularized derivative interpolation in this paper is more accurate in computation.

关 键 词：Nonband-Limited Function Derivative Interpolation ILL-POSEDNESS REGULARIZATION 

分 类 号：O174[理学—数学]