Generalized Tschebyscheff of the Second Kind and Bernstein Polynomials Change of Bases

Authors

  • Mohammad A AlQudah Northwood Universaity

Keywords:

Generalized Tschebyscheff, Bernstein Basis, Basis Transformation, B\'{e}zier Coefficient, Gamma function

Abstract

We construct multiple representations relative to different bases of the generalized Tschebyscheff polynomials of second kind. 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. In addition, we create the change-of-basis matrices between the generalized Tschebyscheff of the second kind polynomial basis and Bernstein polynomial basis. 

Author Biography

  • Mohammad A AlQudah, Northwood Universaity
    Chairperson, Assisatnt Professor of Mathematics

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Published

2015-07-25

Issue

Vol. 8 No. 3: (July 2015)

Section

Approximation Theory

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How to Cite

Generalized Tschebyscheff of the Second Kind and Bernstein Polynomials Change of Bases. (2015). European Journal of Pure and Applied Mathematics, 8(3), 324-331. https://www.ejpam.com/index.php/ejpam/article/view/2434