Cosmographic analysis with Chebyshev polynomials

@article{Capozziello2017CosmographicAW,
  title={Cosmographic analysis with Chebyshev polynomials},
  author={Salvatore Capozziello and Rocco D’Agostino and Orlando Luongo},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2017},
  volume={476},
  pages={3924-3938}
}
The limits of standard cosmography are here revised addressing the problem of error propagation during statistical analyses. To do so, we propose the use of Chebyshev polynomials to parameterize cosmic distances. In particular, we demonstrate that building up rational Chebyshev polynomials significantly reduces error propagations with respect to standard Taylor series. This technique provides unbiased estimations of the cosmographic parameters and performs significatively better than previous… 

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