Μ-modification of the “pyramidal” method of data extrapolation

Authors

  • Yuriy Turbal National university of water and environmental engeneering
  • Andriy Bomba department of applied mathematic National university of water and environmental engeneering Rivne https://orcid.org/0000-0001-5528-4192
  • Mariana Turbal department of applied mathematic National university of water and environmental engeneering Rivne,

DOI:

https://doi.org/10.31713/MCIT.2019.25

Keywords:

extrapolation; forecast; divided differences; interpolation, time series recognition problems

Abstract

In this work certain generalizations of the classical derivative of a differentiable function are introduced. The method of time series extrapolation is proposed on the basis of corresponding generalizations. In the basis of this method is the analysis of separated differences. It is proposed  procedure  of the corresponding differences modification and finding of such order, for which it is possible to find in the certain sense the best forecast value. Then the value of the output function at a point that lies outside the interpolation interval is based on the found predictive value for the separated differences using a special computational procedure.

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Published

2019-11-05

How to Cite

Turbal, Y., Bomba, A., & Turbal, M. (2019). Μ-modification of the “pyramidal” method of data extrapolation. Modeling, Control and Information Technologies, (3), 21–24. https://doi.org/10.31713/MCIT.2019.25

Issue

No. 3 (2019): Modeling, control and information technologies

Section

Mathematical, computer modeling and computational methods

License

All materials are distributed under the terms of the Creative Commons Attribution 4.0 International License, which allows others to distribute the work with attribution to the authorship of this work and the first publication in this journal.