Asymptotic behavior of the Eckhoff method for convergence acceleration of trigonometric interpolation

DOI10.1007/s10496-010-0236-3zbMath1240.42011OpenAlexW2059965653MaRDI QIDQ3110494

Arnak V. Poghosyan

Publication date: 27 January 2012

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10496-010-0236-3

zbMATH Keywords

convergence accelerationtrigonometric interpolationFourier seriesBernoulli polynomials

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items

On a fast convergence of the rational-trigonometric-polynomial interpolation, Discontinuous collocation methods and gravitational self-force applications, Unnamed Item, Complete algebraic reconstruction of piecewise-smooth functions from Fourier data, On the Convergence of the Quasi-Periodic Approximations on a Finite Interval

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Acceleration of algebraically-converging Fourier series when the coefficients have series in powers of \(1/n\)
• Error analysis of the Björck-Pereyra algorithms for solving Vandermonde systems
• Accelerating the convergence of trigonometric series
• On a rational linear approximation of Fourier series for smooth functions
• Asymptotic behavior of Eckhoff’s method for Fourier series convergence acceleration
• ASYMPTOTIC BEHAVIOR OF THE KRYLOV–LANCZOS INTERPOLATION
• The Formula of FAA Di Bruno
• Accurate and Efficient Reconstruction of Discontinuous Functions from Truncated Series Expansions
• On a high order numerical method for functions with singularities
• Accurate Reconstructions of Functions of Finite Regularity from Truncated Fourier Series Expansions
• Evaluation of Noisy Data
• Solution of Vandermonde systems of equations