We find the exact values of the series of n-widths for the classes of functions from the Hardy and Bergman spaces whose averaged moduli of continuity are majorized by a given function obeying certain restrictions.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 10, pp. 1366–1379, October, 2015.
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Langarshoev, M.R. On the Best Linear Methods of Approximation and the Exact Values of Widths for Some Classes of Analytic Functions in the Weighted Bergman Space. Ukr Math J 67, 1537–1551 (2016). https://doi.org/10.1007/s11253-016-1171-z
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DOI: https://doi.org/10.1007/s11253-016-1171-z