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V. K. Dyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1977).
V. N. Rusak, Rational Functions as an Approximation Device [in Russian], Belorussian State Univ., Minsk (1979).
V. N. Rusak, “Exact orders of the best rational approximations of the class of functions representable in a form of convolutions,” Dokl. Akad. Nauk SSSR,279, No. 4, 810–812 (1984).
N. S. Vyacheslavov, “On a uniform approximation of ¦x¦ by rational functions,” Dokl. Akad. Nauk SSSR,220. No. 3, 512–515 (1975).
M. M. Dzhrbashchyan, “On the theory of Fourier series in rational functions,” Izv. Akad. Nauk Arm. SSR, Ser. Fiz.-Mat.,9, No. 7, 1–27 (1956).
T. H. Ganeliys, “Rational approximation in the complex plane and on the line,” Ann. Acad. Sci. Fenn. Ser. A.I.,2, 129–145 (1976).
J.-E. Andersson, “Optimal quadrature of HP functions,” Math. Z.,172, 55–62 (1980).
Translated from Matematicheskie Zametki, Vol. 46, No. 4, pp. 52–59, October, 1989.
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Rovba, E.A. An approximation of ¦sin x¦ by rational Fourier series. Mathematical Notes of the Academy of Sciences of the USSR 46, 788–794 (1989). https://doi.org/10.1007/BF01158146
- Fourier Series