English

Generalized Tschebyscheff of the second kind and Bernstein polynomials change of bases

Classical Analysis and ODEs 2015-07-28 v3

Abstract

We construct multiple representations relative to different bases of the generalized Tschebyscheff polynomials of second kind. We build the change-of-basis matrices between the generalized Tschebyscheff of the second kind polynomial basis and Bernstein polynomial basis. Also, we provide an explicit closed from of The generalized Polynomials of degree r less than or equal n in terms of the Bernstein basis of fixed degree n.

Keywords

Cite

@article{arxiv.1504.01658,
  title  = {Generalized Tschebyscheff of the second kind and Bernstein polynomials change of bases},
  author = {Mohammad A. AlQudah},
  journal= {arXiv preprint arXiv:1504.01658},
  year   = {2015}
}

Comments

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