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In this paper we construct a polynomial Schauder basis of optimal degree with Jacobi orthogonality. A candidate for such a basis is given by the use of some wavelet theoretical methods, which were already successful in case of Tchebysheff and Legendre orthogonality. To prove that this sequence is in fact a Schauder basis for C[-1; 1] and as the main difficulty of the whole proof we show the uniform boundedness of its Lebesgue constants.
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This page is a summary of: Polynomial Schauder basis of optimal degree with Jacobi orthogonality, Journal of Approximation Theory, October 2013, Elsevier,
DOI: 10.1016/j.jat.2013.06.003.
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