Chebyshev Approximation by Exponential Expression with Relative Error
Gespeichert in:
Verfasser / Beitragende:
[P. Malachivskyy, Ya. Pizyur, N. Danchak, E. Orazov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Cybernetics and Systems Analysis, 51/2(2015-03-01), 286-290
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s10559-015-9720-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10559-015-9720-2 | ||
| 245 | 0 | 0 | |a Chebyshev Approximation by Exponential Expression with Relative Error |h [Elektronische Daten] |c [P. Malachivskyy, Ya. Pizyur, N. Danchak, E. Orazov] |
| 520 | 3 | |a The properties of the Chebyshev approximation by an exponential expression with the smallest relative error are investigated and the sufficient condition for its existence is established. A method to determine the parameters of such approximation is proposed and justified. The error of the Chebyshev approximation by an exponential expression is estimated. A numerical example confirming the theoretical results is presented. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 690 | 7 | |a Chebyshev (uniform) approximation |2 nationallicence | |
| 690 | 7 | |a points of alternation |2 nationallicence | |
| 690 | 7 | |a relative error |2 nationallicence | |
| 690 | 7 | |a kernel of approximation error |2 nationallicence | |
| 700 | 1 | |a Malachivskyy |D P. |u Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine |4 aut | |
| 700 | 1 | |a Pizyur |D Ya |u National University "Lviv Polytechnic,”, Lviv, Ukraine |4 aut | |
| 700 | 1 | |a Danchak |D N. |u Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine |4 aut | |
| 700 | 1 | |a Orazov |D E. |u Ukrainian Academy of Printing, Lviv, Ukraine |4 aut | |
| 773 | 0 | |t Cybernetics and Systems Analysis |d Springer US; http://www.springer-ny.com |g 51/2(2015-03-01), 286-290 |x 1060-0396 |q 51:2<286 |1 2015 |2 51 |o 10559 | |
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10559-015-9720-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Malachivskyy |D P. |u Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Pizyur |D Ya |u National University "Lviv Polytechnic,”, Lviv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Danchak |D N. |u Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Orazov |D E. |u Ukrainian Academy of Printing, Lviv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Cybernetics and Systems Analysis |d Springer US; http://www.springer-ny.com |g 51/2(2015-03-01), 286-290 |x 1060-0396 |q 51:2<286 |1 2015 |2 51 |o 10559 | ||
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