On the error in Padé approximations for functions defined by Stieltjes integrals

DOI10.1016/0898-1221(77)90087-6zbMath0373.65013OpenAlexW2064700644MaRDI QIDQ1244780

Yudell L. Luke

Publication date: 1977

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(77)90087-6

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (3)

Beyond fractional derivatives: local approximation of other convolution integrals ⋮ Unnamed Item ⋮ Convergence analysis of the summation of the factorially divergent Euler series by Padé approximants and the delta transformation

Cites Work

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• Padé approximation of Stieltjes series
• The convergence of Padé approximants to series of Stieltjes
• Some remarks on uniform asymptotic expansions for Bessel functions
• The special functions and their approximations. Vol. I, II
• On the Error in the Padé Approximants for a Form of the Incomplete Gamma Function Including the Exponential Function
• On the error in a certain interpolation formula and in the Gaussian integration formula
• On Generalized Gaussian Quadrature
• Padé approximation and gaussian quadrature
• An Expansion of the Laguerre Polynomials, L^α_n(z)
• A Unified Approach to Quadrature Rules with Asymptotic Estimates of Their Remainders

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