Construction of new transformations for lacunary power series based on the Cauchy-type approximants

DOI10.1016/0168-9274(91)90040-7zbMath0778.65006OpenAlexW2073182153MaRDI QIDQ1182427

Ana C. Matos

Publication date: 28 June 1992

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(91)90040-7

zbMATH Keywords

convergence accelerationlacunary power seriesseries transformation

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Extrapolation to the limit, deferred corrections (65B05) Numerical summation of series (65B10)

Related Items (2)

A derivation of extrapolation algorithms based on error estimates ⋮ Some new acceleration methods for periodic-linearly convergent power series

Cites Work

• Padé-type approximation and general orthogonal polynomials
• The asymptotic behavior of sequences and new series transformations based on the Cauchy product

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