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Global smoothness preservation by some nonlinear max-product operators. (English) Zbl 1289.41001

Authors’ abstract: We study the problem of partial global smoothness preservation in the cases of max-product Bernstein approximation operators, max-product Hermite-Féjer interpolation operators based on the Chebyshev nodes of the first kind and max-product Lagrange interpolation operators based on the Chebyshev nodes of the second kind.

MSC:

41A05 Interpolation in approximation theory
41A20 Approximation by rational functions
41A17 Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities)
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