Potential theoretic approach to design of accurate formulas for function approximation in symmetric weighted Hardy spaces

@article{Tanaka2016PotentialTA,
  title={Potential theoretic approach to design of accurate formulas for function approximation in symmetric weighted Hardy spaces},
  author={Ken’ichiro Tanaka and Tomoaki Okayama and Masaaki Sugihara},
  journal={Ima Journal of Numerical Analysis},
  year={2016},
  volume={37},
  pages={861-904}
}
We propose a method for designing accurate interpolation formulas on the real axis for the purpose of function approximation in weighted Hardy spaces. In particular, we consider the Hardy space of functions that are analytic in a strip region around the real axis, being characterized by a weight function $w$ that determines the decay rate of its elements in the neighborhood of infinity. Such a space is considered as a set of functions that are transformed by variable transformations that… 

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