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

Lucian Coroianu; Sorin G. Gal

doi:10.33993/jnaat391-917

Authors

Lucian Coroianu University of Oradea, Romania
Sorin G. Gal University of Oradea, Romania

DOI:

https://doi.org/10.33993/jnaat391-917

Keywords:

nonlinear Hermite-Fejer interpolation operators of max-product kind, Chebyshev nodes of first kind, degree of approximation

Abstract views: 320

Abstract

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.

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