Some mean value theorems as consequences of the Darboux property

DOI10.21136/MB.2016.0032-15zbMath1463.26006OpenAlexW2562015141MaRDI QIDQ5271009

Dan Ştefan Marinescu, Mihai Monea

Publication date: 3 July 2017

Published in: Mathematica Bohemica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/mb.2016.0032-15

zbMATH Keywords

arithmetic meangeometric meanDarboux functioncontinuous functionmean value theoremdifferentiable functionintegrable functionharmonic mean

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Means (26E60)

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