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 ...

Analytic functions, also known as holomorphic functions, form the cornerstone of complex analysis, widely studied for their elegant properties and deep connections in both pure and applied mathematics ...

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 ...