Sobre formas geométricas de los teorema del valor medio de Cauchy y de Flett

We give two mean value type theorems for differentiable curves in the Euclidean space. These unify several versions of Cauchy’s and Flett’s mean value theorems and provide equivalent geometric statements to their classical counterparts. We also discuss some particular cases for curves in two and three dimensions, and some related results

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Publication Details

Journal
Magazine Portal Bibliotech Digital (Universidad Nacional de Colombia)
Published
2026-02-17
Primary Topic
Mathematics and Applications
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article
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article

Sobre formas geométricas de los teorema del valor medio de Cauchy y de Flett

Sergio A. Carrillo
Magazine Portal Bibliotech Digital (Universidad Nacional de Colombia)
Mathematics and Applications
article

Sobre formas geométricas de los teorema del valor medio de Cauchy y de Flett

Sergio A. Carrillo
article en

Abstract

We give two mean value type theorems for differentiable curves in the Euclidean space. These unify several versions of Cauchy’s and Flett’s mean value theorems and provide equivalent geometric statements to their classical counterparts. We also discuss some particular cases for curves in two and three dimensions, and some related results

Magazine Portal Bibliotech Digital (Universidad Nacional de Colombia)
Openalex Percentile: Top 44%
Mathematics and Applications
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Sobre formas geométricas de los teorema del valor medio de Cauchy y de Flett — Sergio A. Carrillo · Magazine Portal Bibliotech Digital (Universidad Nacional de Colombia) (2026) | TGRS Research Map | TGRS