We establish the best asymptotic one-sided approximation by algebraic polynomials in the mean for r -differentiable functions from the class \( {W}_{\infty}^r \), where r is even.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 2, pp. 215–227, February, 2016.
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Sedunova, V.V. Best One-Sided Approximation for the Class of Differentiable Functions by Algebraic Polynomials in the Mean. Ukr Math J 69, 255–268 (2017). https://doi.org/10.1007/s11253-017-1359-x
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DOI: https://doi.org/10.1007/s11253-017-1359-x