Change of basis for generalized Chebyshev Koornwinder's type polynomials of first kind

Mohammad A. AlQudah; Maalee AlMheidat

Change of basis for generalized Chebyshev Koornwinder's type polynomials of first kind

Numerical Analysis 2016-03-15 v3 Classical Analysis and ODEs

Authors: Mohammad A. AlQudah , Maalee AlMheidat

Abstract

In this paper an explicit form of generalized Chebyshev Koornwinder's type polynomial of first kind in terms of the Bernstein basis of fixed degree $n$ is provided. Moreover, we investigate generalized Chebyshev Koornwinder's type polynomials of first kind and Bernstein polynomials change of bases.

Keywords

Chebyshev polynomials Koornwinder polynomials Bernstein basis change of basis generalized polynomials explicit form

Cite

@article{arxiv.1503.07393,
  title  = {Change of basis for generalized Chebyshev Koornwinder's type polynomials of first kind},
  author = {Mohammad A. AlQudah and Maalee AlMheidat},
  journal= {arXiv preprint arXiv:1503.07393},
  year   = {2016}
}

Comments

Correcting some details in the proofs, updating the references, changing the layout, fixing some errors, updating the title to reflect the changes

Change of basis for generalized Chebyshev Koornwinder's type polynomials of first kind

Abstract

Keywords

Cite

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