Literature cited
D. V. Anosov, “Geodesic flows on Riemannian manifolds of negative curvature,” Tr, Mat. Inst. Akad. Nauk SSSR,90, 1–210 (1967).
N. N. Bogolyubov, Yu. A. Mitropol'skii, and A. M. Samoilenko, The Method of Accelerated Convergence in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1969).
A. M. Samoilenko, “On the preservation of the invariant torus under perturbation,” Izv. Akad. Nauk SSSR, Ser. Mat.,34, No. 6, 1219–1240 (1970).
F. W. Wilson, “Smoothing derivatives of functions and applications,” Trans. Am. Math. Soc,139, 413–438 (1969).
V. K. Dzyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1977).
A. I. Stepanets, Uniform Approximations by Trigonometric Polynomials [in Russian], Naukova Dumka, Kiev (1981).
N. P. Korneichuk, Extremal Problems of Approximation Theory [in Russian], Nauka, Moscow (1976).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 38, No. 1, pp. 111–114, January–February, 1986.
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Kulik, A.N. Approximations of continuous periodic functions that are differentiate along the trajectories of dynamical systems. Ukr Math J 38, 100–103 (1986). https://doi.org/10.1007/BF01056770
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DOI: https://doi.org/10.1007/BF01056770