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Localization Results for the Meyer-König and Zeller Max-Product Operator |
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| Authors: | Lucian Coroianu |
| Institution: | Department of Mathematics and Computer Science , The University of Oradea , Oradea , Romania |
| Abstract: | In this article, we investigate the local approximation and shape preserving properties in subintervals for the Meyer-König and Zeller max-product operators. The results obtained put in evidence that in the class of strictly positive continuous functions, the local properties of the nonlinear Meyer-König and Zeller max-product operators are much stronger and more general than those in the case of their linear counterparts. |
| Keywords: | Lipschitz function in subintervals Local direct approximation result Localization results Local shape preserving properties Meyer-König and Zeller max-product operator |