Sharp error bounds for Jacobi expansions and Gegenbauer--Gauss quadrature of analytic functions

This paper provides a rigorous and delicate analysis for exponential decay of Jacobi polynomial expansions of analytic functions associated with the Bernstein ellipse. Using an argument that can recover the best estimate for the Chebyshev expansion, we derive various new and sharp bounds of the expa...

Olles dieđut

Bibliográfalaš dieđut
Váldodahkkit: Zhao, Xiaodan, Wang, Li-Lian, Xie, Ziqing
Eará dahkkit: School of Physical and Mathematical Sciences
Materiálatiipa: Journal Article
Giella:English
Almmustuhtton: 2013
Fáttát:
Liŋkkat:https://hdl.handle.net/10356/101170
http://hdl.handle.net/10220/18308