In the spaces L ψ (T ) of periodic functions with metric
where ψ is a function of the modulus-of-continuity type, we investigate analogs of the classic Bern-stein inequalities for the norms of derivatives and increments of trigonometric polynomials.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 12, pp. 1657–1671, December, 2011.
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Pichugov, S.A. Inequalities for trigonometric polynomials in spaces with integral metric. Ukr Math J 63, 1883–1899 (2012). https://doi.org/10.1007/s11253-012-0619-z
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DOI: https://doi.org/10.1007/s11253-012-0619-z