Limit properties of differential mean values

DOI10.1006/jmaa.1998.6097zbMath0923.26005OpenAlexW2009120976MaRDI QIDQ1273697

Prasanna K. Sahoo, Thomas Riedel, Robert C. Powers

Publication date: 12 October 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6097

zbMATH Keywords

limitsfunctional equationsdivided differencesmean value theoremsTaylor remainder

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Functional equations for real functions (39B22) Foundations: limits and generalizations, elementary topology of the line (26A03)

Related Items (6)

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 ⋮ On Flett's mean value theorem

Cites Work

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• Means and divided differences
• Flett's Mean Value Theorem for Holomorphic Functions
• On the Mean Value Theorem for Integrals
• Generalizations of the Logarithmic Mean
• A Note on the Mean Value Theorem for Integrals
• A Note on Some Inequalities

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