Approximation of the rth differential operator by means of linear shape preserving operators of finite rank

@article{Sidorov2003ApproximationOT,
  title={Approximation of the rth differential operator by means of linear shape preserving operators of finite rank},
  author={Sergei P. Sidorov},
  journal={Journal of Approximation Theory},
  year={2003},
  volume={124},
  pages={232-241}
}
In this paper, we present some results estimating the order of approximation of the rth derivative of a function by means of linear operators under different assumptions related to shape preserving properties. We give an example of an operator with the best order of approximation. 

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