We obtain a correction to the estimate of approximation of functions from the class W r H ω, where ω(t) is a convex modulus of continuity such that tω′(t) is nondecreasing, by algebraic polynomials with regard for the location of a point on a segment.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 8, pp. 1087–1098, August, 2008.
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Motornyi, V.P. On the problem of approximation of functions by algebraic polynomials with regard for the location of a point on a segment. Ukr Math J 60, 1270–1284 (2008). https://doi.org/10.1007/s11253-009-0129-9
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DOI: https://doi.org/10.1007/s11253-009-0129-9