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Journal of Mathematical Sciences

, Volume 209, Issue 1, pp 115–129 | Cite as

On Best Harmonic Synthesis of Periodic Functions

  • G. G. Magaril-Il’yaevEmail author
  • K. Yu. Osipenko
Article

Abstract

In this paper, we construct optimal methods of recovery of periodic functions from a known (exact or inexact) finite family of their Fourier coefficients. The proposed approach to constructing recovery methods is compared with the approach based on the Tikhonov regularization method.

Keywords

Lagrange Function Recovery Method Optimal Recovery Admissible Sequence Recovery Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia
  2. 2.A. A. Kharkevich Institute for Information Transmission ProblemsRussian Academy of SciencesMoscowRussia
  3. 3.Moscow State Aviation Technological UniversityMoscowRussia
  4. 4.South Mathematical Institute of Vladikavkaz Scientific CenterRussian Academy of SciencesVladikavkazRussia

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