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

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...

Saved in:

書目詳細資料
Main Authors:	Zhao, Xiaodan, Wang, Li-Lian, Xie, Ziqing
其他作者:	School of Physical and Mathematical Sciences
格式:	Article
語言:	English
出版:	2013
主題:	DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis
在線閱讀:	https://hdl.handle.net/10356/101170 http://hdl.handle.net/10220/18308
標簽:	添加標簽沒有標簽, 成為第一個標記此記錄!
機構:	Nanyang Technological University
語言:	English

相似書籍

Pointwise error estimates and local superconvergence of Jacobi expansions
由: Xiang, Shuhuang, et al.
出版: (2023)

Analyticity of weighted central paths and error bounds for semidefinite programming
由: Chua, Chek Beng.
出版: (2009)

Superconvergence of Jacobi Gauss type spectral interpolation
由: Wang, Li-Lian, et al.
出版: (2014)

Exponential convergence of spectral approximations and time-domain computation of scattering problems.
由: Zhao, Xiaodan.
出版: (2013)

Asymptotics of the generalized Gegenbauer functions of fractional degree
由: Liu, Wenjie, et al.
出版: (2022)

An inexact spectral bundle method and error bounds for convex quadratic symmetric cone programming
由: Lin, Hui Ling
出版: (2012)

On the irreducibility of a truncated binomial expansion
由: Filaseta, Michael., et al.
出版: (2011)

Global stabilization of linear time-varying delay systems with bounded controls
由: Phat,V.N., et al.
出版: (2015)

Model linier efek campuran bivariat untuk data longitudinal
由: Rosa, Ratri Kusuma Hariningsih
出版: (2023)

Perfect absorbing layers for wave scattering problems and related topics
由: Gao, Yang
出版: (2020)

Bayesian inverse problems for hyperbolic equations
由: Ng, Jeremy
出版: (2020)

Generalised polynomial chaos approximation for stochastic fractional partial differential equations
由: Teh, Yu Xuan
出版: (2023)

Developing efficient finite element methods for nonlocal PDEs
由: Wang, Jeremy Zhi Zhong
出版: (2023)

Twin Rotor MIMO System Control using Linear Quadratic Regulator with Simechanics
由: Fahmizal, Fahmizal, et al.
出版: (2021)

Bounded Harmonic but No Dirichlet-Finite Harmonic
由: KWON, Young Koan
出版: (1973)

Improved bounds for the crossing numbers of Km,n and Kn
由: Klerk, Etienne de., et al.
出版: (2011)

Combining interval branch and bound and stochastic search
由: Bunnag,D.
出版: (2015)

Improved lower bounds for constant GC-content DNA codes
由: Chee, Yeow Meng, et al.
出版: (2009)

Behavior of Phi-Bounded Harmonic Functions at the Wiener Boundary
由: KWON, Young Koan
出版: (1975)

Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation
由: Liu, Wenjie, et al.
出版: (2022)

A Maximum Principle for Bounded Harmonic Functions on Riemannian Spaces
由: KWON, Young Koan, et al.
出版: (1970)

Analytical Thinking Skills for Math Workbook
由: NOWACKI, Mark, et al.
出版: (2013)

Superconvergence for the gradient of finite element approximations by L2-projections
由: Heimsund, Bjorn-Ove, et al.
出版: (2009)

Global and uniform convergence of subspace correction methods for some convex optimization problems
由: Tai, Xue Cheng, et al.
出版: (2009)

Efficient mapped spectral methods for unbounded and exterior domains
由: Batubara, Johan
出版: (2008)

Convergence rate analysis of an asynchronous space decomposition method for convex minimization
由: Tai, Xue Cheng, et al.
出版: (2009)

A robust finite element method for Darcy-Stokes flow
由: Mardal, Kent Andre, et al.
出版: (2009)

Anisotropic centroidal voronoi tessellations and their applications
由: Wang, Desheng, et al.
出版: (2009)

Fast numerical methods for image processing based on partial differential equations
由: Duan, Yuping
出版: (2012)

A discrete de Rham complex with enhanced smoothness
由: Tai, Xue Cheng, et al.
出版: (2009)

A saddle point approach to the computation of harmonic maps
由: Hu, Qiya, et al.
出版: (2009)

Gaussian wiretap lattice codes from binary self-dual codes
由: Lin, Fuchun, et al.
出版: (2013)

Mumford-Shah type variational models and fast algorithms for image segmentation
由: Gu, Ying
出版: (2013)

Convergence rate analysis of a multiplicative Schwarz method for variational inequalities
由: Badea, Lori, et al.
出版: (2009)

Fast numerical methods for image restoration
由: Shi, Juan
出版: (2012)

A robust nonconforming H-2-element
由: Nilssen, Trygve K., et al.
出版: (2009)

Bounded Energy-Finite Solutions of Delta U=Pu on a Riemannian Manifold
由: KWON, Young Koan, et al.
出版: (1971)

A sharp exponent bound for McFarland difference sets with p=2
由: Ma, Siu Lun., et al.
出版: (2009)

Using neural networks for approximating functions and equations
由: Li, Yongming
出版: (2019)

Well-conditioned collocation schemes and new triangular spectral-element methods
由: Villena Samson, Michael Daniel
出版: (2014)