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.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 429, 2014, pp. 106–120.
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Kalmykov, S.I. On Some Rational Functions that are Analogs of the Chebyshev Polynomials. J Math Sci 207, 874–884 (2015). https://doi.org/10.1007/s10958-015-2411-8
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DOI: https://doi.org/10.1007/s10958-015-2411-8