S. I. Kalmykov, “On some rational functions which are analogues of Chebyshev polynomials”, Zap. Nauchn. Sem. POMI, 2014, Volume 429,Pages <nobr>106

This article is cited in 1 paper

On some rational functions which are analogues of Chebyshev polynomials

S. I. Kalmykov^abc

^a Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia
^b Bolyai Institute, University of Szeged, Szeged, Aradi v. tere1, 6720, Hungary
^c Far Eastern Federal University, Vladivostok, Russia

Abstract: In this paper, rational functions, which are analogues of Chebyshev polynomials of the second, third and fourth kind, are considered. These rational functions are extremal in Bernstein type inequalities with corresponding weights. Orthogonalization of mentioned functions also is presented.

Key words and phrases: rational functions, Berstein-type inequalities, Chebyshev polynomials.

UDC: 517.54

Received: 01.08.2014