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Approximation by nonlinear Hermite-Fejer interpolation operators of max-product kind on Chebyshev nodes

Approximation by nonlinear Hermite-Fejer interpolation operators of max-product kind on Chebyshev nodes

The aim of this note is that by using the so-called max-product method, to associate to the Hermite-Fejer polynomials based on the Chebyshev knots of first kind, a new interpolation operator for which a Jackson-type approximation order in terms of \(\omega_{1}(f; 1/n)\) is obtained.