Geodesic
Remarks on an article of J.P. King
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 4, pp. 645-652.

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The present note discusses an interesting positive linear operator which was recently introduced by J.P. King. New estimates in terms of the first and second modulus of continuity are given, and iterates of the operators are considered as well. For general King operators the second moments are minimized.
Classification : 41A25, 41A36, 47H10
Keywords: positive linear operators; degree of approximation; contraction principle; second order modulus; second moments 
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Gonska, Heiner; Piţul, Paula. Remarks on an article of J.P. King. Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 4, pp. 645-652. http://geodesic.mathdoc.fr/item/CMUC_2005__46_4_a4/