Abstract. It is well-known that the remaining term of any 𝑛-point interpolatory quadrature rule such as Gauss-Legendre quadrature formula depends on at least an 𝑛-order derivative of the integrand ...
SIAM Journal on Numerical Analysis, Vol. 51, No. 3 (2013), pp. 1443-1469 (27 pages) This paper provides a rigorous and delicate analysis for exponential decay of Jacobi polynomial expansions of ...