Best universal approximations of continuous functions by generalized multiplications.
Keywords:
polynomials of best approximation, generalized polynomials, Chebyshev polynomials.
Abstract
Two methods of approximate construction of polynomials of best approximation are proposed. An approach is presented which, using a finite number of steps, allows us to construct a polynomial of best approximation to a function on a set that consists of a finite number of points.
References
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Fadeev, DK; Фадеева, В.Н. Computational methods of linear algebra Publisher: Fizmatgiz 736 pages; 1963
Hausholder A.S. Fundamentals of numerical analysis Per. with English - M .: Izd-vo in. lit-ry, 1956. - 320 p.
Bakhvalov NS Numerical methods (analysis, algebra, ordinary differential equations) M .: "Science", 1975. - 632 p.
Samarsky AA, Gulin AV Numerical methods M .: Nauka, 1989. - 432 p.
Lancosh K. Practical methods of applied analysis. Reference guide. Per. with English M .. Kainer; under ed. AM Lopshitsa.- М .: ГИФМЛ, 524 стр 1961.
Fadeev, DK; Фадеева, В.Н. Computational methods of linear algebra Publisher: Fizmatgiz 736 pages; 1963
Hausholder A.S. Fundamentals of numerical analysis Per. with English - M .: Izd-vo in. lit-ry, 1956. - 320 p.
Bakhvalov NS Numerical methods (analysis, algebra, ordinary differential equations) M .: "Science", 1975. - 632 p.
Samarsky AA, Gulin AV Numerical methods M .: Nauka, 1989. - 432 p.
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Published
2021-06-11
How to Cite
Grinchenko, L. (2021). Best universal approximations of continuous functions by generalized multiplications . COMPUTER-INTEGRATED TECHNOLOGIES: EDUCATION, SCIENCE, PRODUCTION, (43), 12-16. https://doi.org/10.36910/6775-2524-0560-2021-43-02
Section
Automation and Control
