Literature cited
N. P. Korneichuk, “Extreme values of functionals and best approximation in classes of periodic functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,35, 93–124 (1971).
N. P. Korneichuk, “Methods of investigating extremal problems in the theory of best approximation,” Usp. Mat. Nauk,29, No. 3, 9–42 (1974).
S. N. Bernshtein, “Limit relations among constants in the theory of best approximation,” in: Collected Works [in Russian], Vol. 2, Moscow (1952), pp. 413–415.
A. I. Polovina, “Approximation of functions, defined on an interval, by algebraic polynomials,” in: First Republican Mathematical Conference of Young Investigators, No. 2, Kiev (1965), pp. 560–569.
A. I. Polovina, “Best uniform approximation of differentiable functions by algebraic polynomials,” Izv. Vyssh. Uchebn. Zaved., No. 12, 76–82 (1969).
A. A. Zakharov, “Asymptotic behavior of Lebesgue functions of linear means of interpolational processes,” Mat. Sb.,75, No. 3, 335–348 (1968).
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Translated from Matematicheskie Zametki, Vol. 27, No. 3, pp. 381–390, March, 1980.
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Kofanov, V.A. Best uniform approximation of differentiable functions by algebraic polynomials. Mathematical Notes of the Academy of Sciences of the USSR 27, 190–195 (1980). https://doi.org/10.1007/BF01140165
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DOI: https://doi.org/10.1007/BF01140165