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arXiv · 1503.07897

Characterization of the generalized Chebyshev-type polynomials of first kind

Mohammad A. AlQudah
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Abstract

Orthogonal polynomials have very useful properties in the solution of mathematical problems, so recent years have seen a great deal in the field of approximation theory using orthogonal polynomials. In this paper, we characterize the generalized Chebyshev-type polynomials of the first kind $\mathscr{T}_{n}^{(M,N)}(x),$ then we provide a closed form of the constructed polynomials in term of the Bernstein polynomials $B_{k}^{n}(x).$ We conclude the paper with some results on the integration of the weighted generalized Chebyshev-type with the Bernstein polynomials.

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Mohammad A. AlQudah. 2015-05-17. Characterization of the generalized Chebyshev-type polynomials of first kind. https://doi.org/10.14419/ijamr.v4i4.4788

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