In the case of uniform approximation of continuous periodic functions of one variable by trigonometric polynomials, we obtain lower bounds for the Jackson constants of the best linear methods of approximation.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 5, pp. 662–673, May, 2012.
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Pichugov, S.A. Lower bounds for the deviations of the best linear methods of approximation of continuous functions by trigonometric polynomials. Ukr Math J 64, 752–766 (2012). https://doi.org/10.1007/s11253-012-0676-3
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DOI: https://doi.org/10.1007/s11253-012-0676-3