Geodesic
Approximation of continuous functions by rational Pad--Chebyshev fractions
Problemy fiziki, matematiki i tehniki, no. 1 (2011), pp. 69-78

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The paper is concerned with the description of the asymptotic behaviour of parabolic sequences of the elements of Pade–Chebyshev table for some continuous functions represented by Chebyshev series. The asymptotic form of the best rational approximations for such functions is determined.
Keywords: best approximations in the uniform norm, Pade–Chebyshev approximant, trigonometric Pade approximant, rational approximation, the accurate constants of rational approximation. 
@article{PFMT_2011_1_a11,
     author = {Yu. A. Labych and A. P. Starovoitov},
     title = {Approximation of continuous functions by rational {Pad--Chebyshev} fractions},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {69--78},
     publisher = {mathdoc},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2011_1_a11/}
}
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Yu. A. Labych; A. P. Starovoitov. Approximation of continuous functions by rational Pad--Chebyshev fractions. Problemy fiziki, matematiki i tehniki, no. 1 (2011), pp. 69-78. http://geodesic.mathdoc.fr/item/PFMT_2011_1_a11/