Abstract
We construct a linear recovery method based on binary data completion using the Bessel interpolation formula. We find an asymptotic value of the error of this method, determine its norm, and study its properties.
Similar content being viewed by others
REFERENCES
A. A. Ligun and A. A. Shumeiko, Asymptotic Methods for the Recovery of Curves [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1997).
I. Daubechies, Ten Lectures on Wavelets, SIAM, Philadelphia (1992).
S. Dubuc, “Interpolation through an iterative scheme,” J. Math. Anal. Appl., 185–204 (1986).
S. de Marchi, “The dyadic iterative interpolation method and some extensions,” Univ. Padua, Tr. nr. 10/94 (1994).
G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers [Russian translation], Nauka, Moscow (1974).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ligun, A.A., Shumeiko, A.A. A Linear Method for the Recovery of Functions Based on Binary Data Completion. Ukrainian Mathematical Journal 53, 1825–1840 (2001). https://doi.org/10.1023/A:1015250829490
Issue Date:
DOI: https://doi.org/10.1023/A:1015250829490