A Multidimensional Version of Rolle's Theorem

DOI10.2307/2975011zbMath0856.26009OpenAlexW4230556143MaRDI QIDQ4873038

Massimo Furi, Mario Martelli

Publication date: 24 February 1997

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

Full work available at URL: https://doi.org/10.2307/2975011

zbMATH Keywords

multivariable calculusRolle's mean-value theorem

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Continuity and differentiation questions (26B05)

Related Items (5)

A very mean value theorem ⋮ Unnamed Item ⋮ Peano's kernel theoremfor vector-valued functions:a weak version in normed spaces* ⋮ Rolle's theorem for polynomials of degree four in a Hilbert space. ⋮ A theoretical proof of the invalidity of dynamic relaxation arc-length method for snap-back problems

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