Funciones extrañas en el análisis real: : funciones del tipo Thomae

Ángela Y. Franco

doi:10.48204/j.vian.v7n2.a4563

Submitted December 29, 2023

Published 2023-12-29

Artículos

Vol. 7 No. 2 (2023): Visión Antataura

Strange functions in real analysis: Thomae type functions

Ángela Y. Franco⁺⁻

DOI https://doi.org/10.48204/j.vian.v7n2.a4563

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References

DOI: 10.48204/j.vian.v7n2.a4563

Published: 2023-12-29

How to Cite

Franco, Ángela Y. (2023). Strange functions in real analysis: Thomae type functions. Visión Antataura, 7(2), 66–83. https://doi.org/10.48204/j.vian.v7n2.a4563

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

Abstract

The pathological behavior of strange functions has been of great help in the development and foundation of differential and integral calculus and, in general, of real analysis. In addition, it is a useful source of examples and counterexamples that help understand the rigorous definitions of the basic concepts of mathematical analysis. It is for this reason that the objective of this article is to study the properties of the Thomae function, and present some generalizations to guarantee differentiability on a considerably large set of points.

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References

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