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 ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...

For Gaussian quadrature rules over a finite interval, applied to analytic or meromorphic functions, we develop error bounds from contour integral representations of ...

Quadrature rules are mathematical techniques used to approximate the definite integral of a function. They are essential in numerical analysis and scientific computing, particularly when dealing with ...