Positive linear operators which preserve x2
- Cite this article as:
- King, J.P. Acta Mathematica Hungarica (2003) 99: 203. doi:10.1023/A:1024571126455
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A sequence of positive linear operators which approximate each continuous function on [0,1] while preserving the functione2(x) =x2 is presented. Quantitative estimates are given and are compared with estimates of approximation by Bernstein polynomials. Connections with summability are discussed.