A Korovkin-Type Result in C^k an Application to the M_n Operators

Author: Cárdenas-Morales D.  

Publisher: Springer Publishing Company

ISSN: 1000-9221

Source: Approximation Theory and Its Applications, Vol.17, Iss.3, 2001-01, pp. : 1-13

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Abstract

In this work we present a result about the approximation of the k-th derivative of a function by means of a linear operator under assumptions related to shape preserving properties. As a consequence we deduce new results about the Meyer-König and Zeller operators.