The size of \(\{x: r'_ n | r_ n\geq 1\}\) and lower bounds for \(\| e^{-x} - r_ n\|\)

DOI10.1016/0021-9045(82)90072-7zbMath0491.41017OpenAlexW2073073053MaRDI QIDQ1167354

Peter B. Borwein

Publication date: 1982

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(82)90072-7

zbMATH Keywords

exponential functionpolynomial inequalitieserror in approximation

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (4)

On the reverse Dzyadyk inequality for polynomials with zeros on a closed interval ⋮ A Newman type bound for \(L_p[-1,1\)-means of the logarithmic derivative of polynomials having all zeros on the unit Circle] ⋮ Metric property of a real polynomial ⋮ On the behavior of mle of the scale parameter of the student family

Cites Work

• Unnamed Item
• Zur Rationalen Approximation von e-x auf [0,infinity]
• Zur rationalen Approximierbarkeit von \(e^{-x}\) über \([0, \infty)\)
• Chebyshev rational approximations to \(e^{-x}\) in \([0,+\infty)\) and applications to heat-conduction problems
• Rational approximation to \(e^{-x}\)

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