caa a22 4500 605522456 CHVBK 20210128100745.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10958-015-2411-8 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2411-8 Kalmykov S. Institute of Applied Mathematics of the Far Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia aut On Some Rational Functions that are Analogs of the Chebyshev Polynomials [Elektronische Daten] [S. Kalmykov] The paper considers rational functions that are analogs of the Chebyshev polynomials of the second, third, and fourth kinds. These rational functions are extremal for Bernstein type inequalities with appropriate weights. Orthogonalization of the functions in question is also considered. Bibliography: 13 titles. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/6(2015-06-01), 874-884 1072-3374 207:6<874 2015 207 10958 https://doi.org/10.1007/s10958-015-2411-8 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/s10958-015-2411-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kalmykov S. Institute of Applied Mathematics of the Far Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/6(2015-06-01), 874-884 1072-3374 207:6<874 2015 207 10958