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

• المؤلفون الرئيسيون: Zhao, Xiaodan, Wang, Li-Lian, Xie, Ziqing
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2013
• الموضوعات: DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/101170; http://hdl.handle.net/10220/18308
• المؤسسة: Nanyang Technological University

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...