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Strong converse inequality for Kantorovich polynomials

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For the Kantorovich polynomial approximationK n (f, t), 1<p≤∞, we prove that, for somem,

This equivalence includes a strong converse inequality of type B.

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Communicated by Vilmos Totik.

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Chen, W., Ditzian, Z. Strong converse inequality for Kantorovich polynomials. Constr. Approx 10, 95–106 (1994). https://doi.org/10.1007/BF01205169

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  • DOI: https://doi.org/10.1007/BF01205169

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