Open AccessΜ-modification of the “pyramidal” method of data extrapolation
Author(s) -
Yuriy Turbal,
Андрій Бомба,
Mariana Turbal
Publication year - 2019
Publication title -
modeling, control and information technologies
Language(s) - English
Resource type - Journals
eISSN - 2707-1049
pISSN - 2707-1030
DOI - 10.31713/mcit.2019.25
Subject(s) - extrapolation , interpolation (computer graphics) , differentiable function , value (mathematics) , mathematics , basis (linear algebra) , series (stratigraphy) , function (biology) , interval (graph theory) , basis function , linear interpolation , algorithm , mathematical analysis , computer science , statistics , artificial intelligence , geometry , combinatorics , paleontology , evolutionary biology , polynomial , biology , motion (physics)
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.