The asymptotic behavior of sequences and new series transformations based on the Cauchy product
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Publication:1178576
DOI10.1216/rmjm/1181072996zbMath0741.65003OpenAlexW2052388556MaRDI QIDQ1178576
Publication date: 26 June 1992
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/rmjm/1181072996
convergence accelerationPadé type approximantssequence transformationsCauchy-type series transformations
Convergence and divergence of series and sequences (40A05) Extrapolation to the limit, deferred corrections (65B05)
Related Items (8)
Acceleration property for the E-algorithm and an application to the summation of series ⋮ A derivation of extrapolation algorithms based on error estimates ⋮ Construction of new transformations for lacunary power series based on the Cauchy-type approximants ⋮ Some new acceleration methods for periodic-linearly convergent power series ⋮ Acceleration property for the columns of the E-algorithm ⋮ An acceleration property of the \(E\)-algorithm for alternate sequences ⋮ Some unusual results on extrapolation methods ⋮ Orthonormality in Interpolation Schemes for Reconstructing Signals
Cites Work
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- Padé-type approximation and general orthogonal polynomials
- Nonstandard asymptotic analysis
- Acceleration of limit periodic continued fractions by the \(T_{+M}\) transformation
- Accélération de la convergence des suites dont le rapport des erreurs est borne
- Accélération de la convergence en analyse numérique
- Zeros of sections of power series
- The \(\delta^ 2\)-process and related topics. II
- Some New Convergence Acceleration Methods
- The Asymptotic Distribution of Eigenvalues and Eigenfunctions for Elliptic Boundary Value Problems
- A note on T-transformation of Lubkin
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