On the rational approximation of \(e^{-x}\) on [0,\(\infty)\)

DOI10.1007/BF01890031zbMath0596.41027OpenAlexW2327576296MaRDI QIDQ1078443

Hans-Ulrich Opitz, Karl Scherer

Publication date: 1985

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01890031

zbMATH Keywords

rational approximantsPadé approximants

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Approximation by rational functions (41A20) Rate of convergence, degree of approximation (41A25)

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Convergent interpolation to Cauchy integrals over analytic arcs ⋮ Scientific computation on some mathematical problems ⋮ How high-precision calculations can stimulate mathematical research

Cites Work

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• Piecewise Padé-approximation of \(e^{-x}\) on \([0,\infty)\).
• On the zeros and poles of Padè approximants to \(e^z\). III
• Zur rationalen Approximierbarkeit von \(e^{-x}\) über \([0, \infty)\)
• Chebyshev rational approximations to \(e^{-x}\) in \([0,+\infty)\) and applications to heat-conduction problems
• The Carathéodory–Fejér Method for Real Rational Approximation
• Rational Approximation to $e^{ - x} $ and Related $\mathcal{L}^2 $-Problems
• Rational Approximation to e -x . II

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