Abstract
A sequence of positive linear operators which approximate each continuous function on [0,1] while preserving the functione 2 (x) =x 2 is presented. Quantitative estimates are given and are compared with estimates of approximation by Bernstein polynomials. Connections with summability are discussed.
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King, J.P. Positive linear operators which preserve x 2 . Acta Mathematica Hungarica 99, 203–208 (2003). https://doi.org/10.1023/A:1024571126455
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DOI: https://doi.org/10.1023/A:1024571126455