ANALYSIS OF ECONOMIC FORECASTS WITH REFERENCE TO THE GEOMETRY OF THE LATTICE POLYNOMIALS WITH INTEGER COEFFICIENTS
DOI:
https://doi.org/10.19251/ne/2022.35(2)Keywords:
forecasting, approximation, lattice polynomialsAbstract
In the paper, we analyze the methods of obtaining functions forecasting certain data in economics and the problem of successive lattice minima for polynomials approximating certain economic phenomena. Data (most often cyclic problems) can be approximated by a polynomial with real coefficients. Obtained polynomials (with certain assumptions about the values at the ends of the domain) can be approximated by a polynomial with integer coefficients. The set of these polynomials generates a geometric structure called a lattice. Therefore, we can ask about the generation of the best base in a given lattice and elements of the lowest possible measure. In this way, we get some method of selecting a function with a not very high measure that expresses the forecast for our data.
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