Pointwise error estimates and local superconvergence of Jacobi expansions

• Main Authors: Xiang, Shuhuang, Kong, Desong, Liu, Guidong, Wang, Li-Lian
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2023
• Subjects: Science::Mathematics; Pointwise Error Analysis; Superconvergence
• Online Access: https://hdl.handle.net/10356/171812
• Institution: Nanyang Technological University

As one myth of polynomial interpolation and quadrature, Trefethen [Math. Today (Southend-on-Sea) 47 (2011), pp. 184–188] revealed that the Chebyshev interpolation of |x − a| (with |a| < 1) at the Clenshaw-Curtis points exhibited a much smaller error than the best polynomial approximation (in the...