Acta Mathematica Hungarica

, Volume 99, Issue 3, pp 203–208

Positive linear operators which preserve x2

  • J. P. King

DOI: 10.1023/A:1024571126455

Cite this article as:
King, J.P. Acta Mathematica Hungarica (2003) 99: 203. doi:10.1023/A:1024571126455


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.

Bernstein polynomialspositive linear operatorsapproximationsummability

Copyright information

© Kluwer Academic Publishers/Akadémiai Kiadó 2003

Authors and Affiliations

  • J. P. King
    • 1
  1. 1.Department Of MathematicsLehigh UniversityBethlehem