Localization results for the Lagrange max-product interpolation operator based on equidistant knots

Lucian Coroianu; Sorin G. Gal

doi:10.33993/jnaat422-988

Authors

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

DOI:

https://doi.org/10.33993/jnaat422-988

Keywords:

Lagrange max-product interpolation operator, localization result, local direct approximation result, Lipschitz function on subintervals

Abstract views: 337

Abstract

In the class of strictly positive functions strong localization results are obtained in approximation by the Lagrange max-product interpolation operators based on equidistant nodes. The results allow to approximate locally bounded strictly positive functions with very good accuracy. Then, it is observed that the results can be extended to bounded functions of variable sign.

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