Truncation Errors in Pade Approximations to Certain Functions: An Alternative Approach

DOI10.2307/2003242zbMath0158.06701OpenAlexW4246463334MaRDI QIDQ5540618

David L. Elliott

Publication date: 1967

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2003242

zbMATH Keywords

complex functions

Mathematics Subject Classification ID

Padé approximation (41A21) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (10)

Taylor's theorem for matrix functions with applications to condition number estimation ⋮ Truncation error bounds for modified continued fractions with applications to special functions ⋮ Padé-type approximations to the resolvent of fractional powers of operators ⋮ Rational approximations to fractional powers of self-adjoint positive operators ⋮ A priori estimates for truncation error of continued fractions \(K(1/b_ n\)) ⋮ Development of approximate solutions for contaminant transport through fractured media ⋮ Accelerated polynomial approximation of finite order entire functions by growth reduction ⋮ Truncation error bounds for limit-periodic continued fractions \(K(a_ n/1)\) with \(\lim a_ n=0\) ⋮ Convergence analysis of the summation of the factorially divergent Euler series by Padé approximants and the delta transformation ⋮ Estimates of the Speed of Convergence of Continued Fraction Expansions of Functions

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