Abstract
In this chapter we study the approximation properties of the following max-product operators of interpolation type: max-product Hermite–Fejer operator on Chebyshev knots of first kind, max-product Lagrange operator on Chebyshev knots of second kind, and max-product Lagrange operator on equidistant and on general Jacobi knots. An important characteristic of the approximation error estimates obtained is that they are all of Jackson-type, thus essentially improving those obtained in approximation by the counterpart linear interpolation operators.
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