Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly ...

Universality theorems occupy a central role in analytic number theory, demonstrating that families of analytic functions—including the prototypical Riemann zeta-function—can approximate an extensive ...

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 ...