caa a22 4500 605519331 CHVBK 20210128105158.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10559-015-9720-2 doi (NATIONALLICENCE)springer-10.1007/s10559-015-9720-2 Chebyshev Approximation by Exponential Expression with Relative Error [Elektronische Daten] [P. Malachivskyy, Ya. Pizyur, N. Danchak, E. Orazov] 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. Springer Science+Business Media New York, 2015 Chebyshev (uniform) approximation nationallicence points of alternation nationallicence relative error nationallicence kernel of approximation error nationallicence Malachivskyy P. Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine aut Pizyur Ya National University "Lviv Polytechnic,”, Lviv, Ukraine aut Danchak N. Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine aut Orazov E. Ukrainian Academy of Printing, Lviv, Ukraine aut Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/2(2015-03-01), 286-290 1060-0396 51:2<286 2015 51 10559 https://doi.org/10.1007/s10559-015-9720-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10559-015-9720-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Malachivskyy P. Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine aut NATIONALLICENCE 700 1- Pizyur Ya National University "Lviv Polytechnic,”, Lviv, Ukraine aut NATIONALLICENCE 700 1- Danchak N. Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine aut NATIONALLICENCE 700 1- Orazov E. Ukrainian Academy of Printing, Lviv, Ukraine aut NATIONALLICENCE 773 0- Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/2(2015-03-01), 286-290 1060-0396 51:2<286 2015 51 10559 SWISSBIB 510011500