Asymptotic behavior of intermediate points in the differential mean value theorem of divided differences with repetitions

DOI10.1016/J.JMAA.2009.10.067zbMath1252.26004OpenAlexW2090356855MaRDI QIDQ847786

Zhicheng Hu, Aimin Xu, Feng Cui

Publication date: 19 February 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.10.067

zbMATH Keywords

asymptotic behaviormean value theoremdivided differenceBell polynomialcycle index of symmetric group

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Numerical differentiation (65D25)

Related Items (4)

Asymptotics of mean value points: a survey ⋮ A Newton interpolation approach to generalized Stirling numbers ⋮ Asymptotic behaviors of intermediate points in the remainder of the Euler-Maclaurin formula ⋮ Asymptotic behavior of support points for planar curves

Cites Work

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• The differential mean value of divided differences
• Limit properties of differential mean values
• Asymptotic behavior of intermediate points in certain mean value theorems
• On the Lagrange Remainder of the Taylor Formula
• On the Lagrange Remainder of the Taylor Formula
• On the Hermite interpolation

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