A priori estimates for truncation error of continued fractions \(K(1/b_ n\))

DOI10.1007/BF01404877zbMath0227.65004OpenAlexW1995928174MaRDI QIDQ2549555

David A. Field, William B. Jones

Publication date: 1972

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132154

Mathematics Subject Classification ID

Acceleration of convergence in numerical analysis (65B99)

Related Items

A survey of truncation error analysis for Padé and continued fraction approximants ⋮ Truncation error bounds for modified continued fractions with applications to special functions ⋮ Error bounds for continued fractions \(K(1/b_n)\) ⋮ An a priori estimate for the truncation error of a continued fraction expansion to the Gaussian error function ⋮ Convergence regions with bounded convex complements for continued fractions \(K(1/b_n)\) ⋮ Truncation error bounds for limit-periodic continued fractions \(K(a_ n/1)\) with \(\lim a_ n=0\) ⋮ Estimates of the Speed of Convergence of Continued Fraction Expansions of Functions

Cites Work

• Unnamed Item
• On parabolic convergence regions for continued fractions
• On a family of twin convergence regions for continued fractions
• Continued fraction approximation to functions
• Truncation error estimates for Stieltjes fractions
• Truncation error bounds for g-fractions
• The Padé Table and theτ-Method
• Numerical Evaluation of Continued Fractions
• On Truncation Errors for Continued Fraction Computations
• Estimates of the Speed of Convergence of Certain Continued Fractions
• Truncation Errors in Pade Approximations to Certain Functions: An Alternative Approach
• Convergence of Continued Fractions
• Truncation Error Estimates for T-Fractions
• Truncation Error Bounds for Continued Fractions
• Truncation error bounds for $\pi$-fractions
• Twin-Convergence Regions for Continued Fractions K(a n /1)