On the problem of approximation of functions by algebraic polynomials with regard for the location of a point on a segment

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. Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 8, pp. 1087–1098, August, 2008.