Convergence acceleration of orthogonal series

DOI10.1007/s11075-007-9146-7zbMath1134.65004OpenAlexW1966250827MaRDI QIDQ2477407

Stefan Paszkowski

Publication date: 13 March 2008

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-007-9146-7

zbMATH Keywords

orthogonal polynomialsconvergence accelerationEuler-Knopp transformpower seriesorthogonal seriestrigonometric series

Mathematics Subject Classification ID

Numerical summation of series (65B10)

Related Items (4)

New properties of a certain method of summation of generalized hypergeometric series ⋮ Acceleration of algebraically-converging Fourier series when the coefficients have series in powers of \(1/n\) ⋮ Method of summation of some slowly convergent series ⋮ On the Convergence of the Quasi-Periodic Approximations on a Finite Interval

Cites Work

• Unnamed Item
• Unnamed Item
• Fast convergent quasipower series for some elementary and special functions
• A Levin-type algorithm for accelerating the convergence of Fourier series
• Some generalizations of the Euler-Knopp transformation
• Extrapolation methods theory and practice
• Continued fractions with applications
• A convergence acceleration method of Fourier series
• Convergence acceleration of logarithmically convergent series avoiding summation
• An Analytic Method for Convergence Acceleration of Certain Hypergeometric Series
• A Method for the Approximation of Functions Defined by Formal Series Expansions in Orthogonal Polynomials

This page was built for publication: Convergence acceleration of orthogonal series