What is it about?

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.

Featured Image

Read the Original

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.
You can read the full text:

Read

Contributors

The following have contributed to this page