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Approximation by Max-Product Interpolation Operators

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Abstract

In this chapter we study the approximation properties of the following max-product operators of interpolation type: max-product Hermite–Fejér 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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Bede, B., Coroianu, L., Gal, S.G. (2016). Approximation by Max-Product Interpolation Operators. In: Approximation by Max-Product Type Operators. Springer, Cham. https://doi.org/10.1007/978-3-319-34189-7_7

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