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

Weidong  Chen

doi:10.4236/am.2022.131008

Weidong Chen

Abstract: 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.

Keywords: Nonband-Limited Function, Derivative Interpolation, Ill-Posedness, Regularization

Cite this paper: Chen, W. (2022) The Ill-Posedness of Derivative Interpolation and Regularized Derivative Interpolation for Non-Bandlimited Functions. Applied Mathematics, 13, 87-100. doi: 10.4236/am.2022.131008.

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