On the Lagrange Remainder of the Taylor Formula

DOI10.2307/3647748zbMath1056.41026OpenAlexW4247782237MaRDI QIDQ4469206

Ulrich Abel

Publication date: 14 June 2004

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3647748

zbMATH Keywords

Bell polynomialsTaylor formulaLagrange remainder

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Remainders in approximation formulas (41A80) One-variable calculus (26A06)

Related Items (7)

Asymptotic behavior of intermediate points in the differential mean value theorem of divided differences with repetitions ⋮ The differential mean value of divided differences ⋮ Asymptotics of mean value points: a survey ⋮ Asymptotic behaviors of intermediate points in the remainder of the Euler-Maclaurin formula ⋮ Asymptotic behavior of support points for planar curves ⋮ Use of the global implicit function theorem to induce singular conditional distributions on surfaces in n dimensions: Part III ⋮ Use of the global implicit function theorem to induce singular conditional distributions on surfaces in n dimensions: Part I

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