DIFERENCIABILIDAD DE LAS FUNCIONES DE VARIACIÓN ACOTADA

Angela Y. Franco; Jorge E. Hernández U.; Edilma Judith Díaz B.; Daniel Vásquez S.

doi:10.48204/j.saberes.v7n1.a4730

Submitted January 29, 2024

Published 2024-01-29

Artículos

Vol. 7 No. 1 (2024): REVISTA SABERES APUDEP

DIFFERENTIABILITY OF FUNCTIONS OF BOUNDED VARIATION

Angela Y. Franco⁺⁻
Jorge E. Hernández U.⁺⁻
Edilma Judith Díaz B.⁺⁻
Daniel Vásquez S.⁺⁻

DOI https://doi.org/10.48204/j.saberes.v7n1.a4730

PDF (Español (España))

References

DOI: 10.48204/j.saberes.v7n1.a4730

Published: 2024-01-29

How to Cite

Franco, A. Y., Hernández U., J. E., Díaz B., E. J., & Vásquez S., D. (2024). DIFFERENTIABILITY OF FUNCTIONS OF BOUNDED VARIATION. Revista Saberes APUDEP, 7(1), 57–86. https://doi.org/10.48204/j.saberes.v7n1.a4730

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Abstract

In this paper, the functions of bounded variation are investigated. The basic properties of these functions are studied, in particular, the sets is continuous in is differentiable in , are analyzed, where I is an Interval of is a function of bounded variation in I. The relationship between the concepts of bounded variation and absolute continuity is also studied, and some examples are presented that illustrate the theory developed in this work.

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