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The paper deals with approximation of a continuous function, on a finite interval, which changes convexity finitely many times, by algebraic polynomials which are coconvex with it. We give final answers to open questions concerning the validity of Jackson type estimates involving the weighted Ditzian-Totik moduli of smoothness.

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Analysis Mathematica
G. A. Dzyubenko
J. Gilewicz
, and
I. A. Shevchuk

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