Polynomial Schauder basis of optimal degree with Jacobi orthogonality

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Polynomial Schauder basis of optimal degree with Jacobi orthogonality

In our paper we construct a polynomial Schauder basis (pα,β,n)n∈N0 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 ...

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ژورنال

عنوان ژورنال: Journal of Approximation Theory

سال: 2013

ISSN: 0021-9045

DOI: 10.1016/j.jat.2013.06.003