On Some Rational Functions that are Analogs of the Chebyshev Polynomials

Verfasser / Beitragende:
[S. Kalmykov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/6(2015-06-01), 874-884
Format:
Artikel (online)
ID: 605522456
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024 7 0 |a 10.1007/s10958-015-2411-8  |2 doi 
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100 1 |a Kalmykov  |D S.  |u Institute of Applied Mathematics of the Far Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia  |4 aut 
245 1 0 |a On Some Rational Functions that are Analogs of the Chebyshev Polynomials  |h [Elektronische Daten]  |c [S. Kalmykov] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Kalmykov  |D S.  |u Institute of Applied Mathematics of the Far Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/6(2015-06-01), 874-884  |x 1072-3374  |q 207:6<874  |1 2015  |2 207  |o 10958